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72 |
ãã¿ãªã¢ã¯4æã«48人ã®å人ã«ã¯ãªããã販売ãããã®åŸ5æã«ã¯ãã®ååã®æ°ã®ã¯ãªããã販売ããŸããããã¿ãªã¢ã¯4æãš5æã®åèšã§ããã€ã®ã¯ãªããã販売ããŸãããïŒ
|
ãã¿ãªã¢ã4æã«è²©å£²ããã¯ãªããã®æ°ã¯48人ã§ãã5æã«ã¯ãã®ååã®æ°ã販売ããã®ã§ã5æã«è²©å£²ããã¯ãªããã®æ°ã¯48人 ÷ 2 = 24人ã§ãã
ãããã£ãŠã4æãš5æã®åèšã§è²©å£²ããã¯ãªããã®æ°ã¯ã48人 + 24人 = 72人ã§ãã
æçµçãªåçã¯ã72ã§ãã
#### 72
|
10 |
ãŠã§ã³ã°ã¯ 1 æéããã $12 ãåå®ãã§çšŒããŸããæšæ¥ã圌女ã¯åå®ãã 50 åã ãããŸããã圌女ã¯ããã皌ããŸãããïŒ
|
ãŠã§ã³ã°ã¯1æéããã$12ã皌ããŸãã50åã¯1æéã®\(\frac{50}{60}\)ã«çžåœããŸãããã®éé¡ãèšç®ããã«ã¯ã1æéãããã®çšŒããæéã«å€åœ¢ããŠæãç®ããŸãã
1æéã®çšŒã: $12
50åã®çšŒã:
\[
12 \times \frac{50}{60} = 12 \times \frac{5}{6} = 10
\]
ãããã£ãŠãåœŒå¥³ã¯æšæ¥åå®ãã§$10ã皌ããŸãããåçã¯æ¬¡ã®éãã§ãã
#### 10
|
5 |
ããã£ã¯æ°ãã財åžãè²·ãããã«ãéã貯ããŠããŸãããã®è²¡åžã¯ 100 ãã«ã§ããããã£ã¯å¿
èŠãªéé¡ã®ååããæã£ãŠããŸããã圌女ã®äž¡èŠªã¯ãã®ããã« 15 ãã«ããããããšã«ããŸããããããŠã圌女ã®ç¥ç¶æ¯ã¯äž¡èŠªã® 2 åããããŸãããããã£ã¯è²¡åžãè²·ãããã«ããšãããå¿
èŠã§ããïŒ
|
ãŸããããã£ãå¿
èŠãªéé¡ã®ååãæ±ããŸãã財åžã®å€æ®µã¯ 100 ãã«ã§ãã®ã§ããã®ååã¯:
100 ã㫠÷ 2 = 50 ãã«
ããã£ã¯ 50 ãã«ãæã£ãŠããŸãã
次ã«ã䞡芪ããããéé¡ã¯ 15 ãã«ã§ãã
ãããŠãç¥ç¶æ¯ã¯äž¡èŠªã® 2 åã®éé¡ããããã®ã§ãç¥ç¶æ¯ããããéé¡ã¯:
15 ãã« Ã 2 = 30 ãã«
ãããã£ãŠãããã£ã財åžã賌å
¥ããããã«æã£ãŠããåèšéé¡ã¯:
50 ãã« (åœŒå¥³ã®æã£ãŠãããé) + 15 ãã« (䞡芪ãã) + 30 ãã« (ç¥ç¶æ¯ãã) = 95 ãã«
財åžã®äŸ¡æ Œã 100 ãã«ãªã®ã§ãããã£ãããã«å¿
èŠãªãéã¯:
100 ãã« - 95 ãã« = 5 ãã«
ãããã£ãŠãããã£ã財åžãè²·ãããã«ããšå¿
èŠãªéé¡ã¯ 5 ãã«ã§ãã
æçµçãªçãã¯ã####5ã§ãã
|
42 |
ãžã¥ãªãŒã¯ 120 ããŒãžã®æ¬ãèªãã§ããŸããæšæ¥ã圌女㯠12 ããŒãžãèªã¿ã仿¥ã¯æšæ¥ã® 2 åã®ããŒãžæ°ãèªã¿ãŸãããææ¥ãæ®ãã®ããŒãžã®ååãèªã¿ããå Žåã圌女ã¯äœããŒãžèªãã¹ãã§ããïŒ
|
ãŸãããžã¥ãªãŒããã§ã«èªãã ããŒãžæ°ãèšç®ããŸãã
- æšæ¥èªãã ããŒãžæ°ïŒ12 ããŒãž
- 仿¥ã¯æšæ¥ã® 2 åãèªã¿ãŸããã®ã§ã仿¥ã¯ 2 à 12 = 24 ããŒãžèªã¿ãŸããã
åèšã§åœŒå¥³ãèªãã ããŒãžæ°ã¯æ¬¡ã®éãã§ãïŒ
12 + 24 = 36 ããŒãž
次ã«ãæ®ãã®ããŒãžæ°ãèšç®ããŸãïŒ
120 ããŒãž - 36 ããŒãž = 84 ããŒãž
åœŒå¥³ãææ¥ãæ®ãã®ããŒãžã®ååãèªã¿ããã®ã§ã84 ããŒãžã®ååãèšç®ããŸãïŒ
84 ÷ 2 = 42 ããŒãž
ãããã£ãŠããžã¥ãªãŒãææ¥èªãã¹ãããŒãžæ°ã¯ 42 ããŒãžã§ãã
çã㯠42 ã§ãã
####42
|
624 |
ãžã§ãŒã ãºã¯ãé±ã« 2 åããããã 2 人ã®å人㫠3 ããŒãžã®æçŽãæžããŸãã圌㯠1 幎éã§äœããŒãžæžããŸããïŒ
|
ãžã§ãŒã ãºã¯ãé±ã« 2 åããããã 2 人ã®åäººã«æçŽãæžããŸãã®ã§ã以äžã®èšç®ãããŸãã
1. 1 åã®æçŽã®ããŒãžæ°ã¯ 3 ããŒãžã
2. 1 é±éã«æžãæçŽã®æ°ã¯ 2 å à 2 人 = 4 éã
3. ãããã£ãŠã1 é±éã«æžãããŒãžæ°ã¯ 4 é à 3 ããŒãž = 12 ããŒãžã
1 幎é㯠52 é±éãããŸãã®ã§ã幎éã®ããŒãžæ°ã¯æ¬¡ã®ããã«èšç®ã§ããŸãã
幎éã®ããŒãžæ° = 12 ããŒãž à 52 é±é = 624 ããŒãžã
ãããã£ãŠããžã§ãŒã ãºã¯ 1 幎éã§ 624 ããŒãžã®æçŽãæžããŸãã
çã㯠####624ã§ãã
|
35 |
ããŒã¯ã¯è±ã®ããåºãæã£ãŠããŸãã圌ã¯ãã®åºã«3çš®é¡ã®è²ã®æ€ç©ãæ€ããŸãããé»è²ã®æ€ç©ã¯10æ¬ãããããããã80%å€ãã®ã玫è²ã®æ€ç©ã§ããé»è²ãšçŽ«ã®æ€ç©ã®æ°ã®25%ã ããç·ã®è±ã§ããããŒã¯ã®åºã«ã¯åèšã§äœæ¬ã®è±ããããŸããïŒ
|
ãŸããããŒã¯ã®åºã«ããé»è²ã®æ€ç©ã®æ°ã¯10æ¬ã§ãã
次ã«ã玫è²ã®æ€ç©ã®æ°ãæ±ããŸãã玫è²ã®æ€ç©ã¯é»è²ã®æ€ç©ãã80%å€ãã®ã§ã以äžã®èšç®ãããŸãã
玫è²ã®æ€ç©ã®æ° = é»è²ã®æ€ç©ã®æ° + (é»è²ã®æ€ç©ã®æ° à 80%)
= 10 + (10 Ã 0.8)
= 10 + 8
= 18æ¬
次ã«ãé»è²ãšçŽ«è²ã®æ€ç©ã®åèšã®æ°ãæ±ããŸãã
åèš = é»è²ã®æ€ç©ã®æ° + 玫è²ã®æ€ç©ã®æ°
= 10 + 18
= 28æ¬
ãã®åŸãé»è²ãšçŽ«ã®æ€ç©ã®æ°ã®25%ãç·ã®è±ã ãšãããŸãã®ã§ãç·ã®è±ã®æ°ãèšç®ããŸãã
ç·ã®è±ã®æ° = åèš Ã 25%
= 28 Ã 0.25
= 7æ¬
æåŸã«ãããŒã¯ã®åºã«ããå
šãŠã®è±ã®æ¬æ°ãèšç®ããŸããé»è²ã玫ãç·ã®è±ããã¹ãŠåãããŸãã
åèšã®è±ã®æ¬æ° = é»è²ã®æ€ç© + 玫è²ã®æ€ç© + ç·ã®è±
= 10 + 18 + 7
= 35æ¬
ãããã£ãŠãããŒã¯ã®åºã«ã¯åèšã§35æ¬ã®è±ããããŸãã
åç: ####35
|
48 |
ã¢ã«ããŒãã¯äžæ¥ã«ã©ãã ãã®ãã¶ãé£ã¹ããããèããŠããŸãã圌ã¯å€§ãããã¶ã 2 æãå°ãããã¶ã 2 æè²·ããŸããã倧ãããã¶ã¯ 16 åããå°ãããã¶ã¯ 8 åãã§ãã圌ãå
šéšé£ã¹ãå Žåããã®æ¥ã«äœåãé£ã¹ãããšã«ãªããŸããïŒ
|
ã¢ã«ããŒããè²·ã£ããã¶ã®åãæ°ãèšç®ããŸãã
1. 倧ãããã¶:
- 2 æã®å€§ãããã¶ããããåãã¶ã¯ 16 åãã§ãã
- ãã£ãŠã倧ãããã¶ã®ç·åãæ°ã¯ \(2 \times 16 = 32\) åãã§ãã
2. å°ãããã¶:
- 2 æã®å°ãããã¶ããããåãã¶ã¯ 8 åãã§ãã
- ãã£ãŠãå°ãããã¶ã®ç·åãæ°ã¯ \(2 \times 8 = 16\) åãã§ãã
次ã«ãå
šãŠã®ãã¶ã®åãæ°ãåèšããŸãã
\[
32 + 16 = 48
\]
ãããã£ãŠãã¢ã«ããŒãããã®æ¥ã«é£ã¹ãããšã«ãªãåãã®æ°ã¯ 48 åãã§ãã
æçµçãªåçã¯
#### 48
|
16 |
ã±ã³ã¯ãå¯å®¿åŠæ ¡ã«éãå
ã«èŽãã±ã¢ããã±ãŒãžãäœããŸãããã±ã³ã¯ç®±ãèšéåšã«çœ®ãããã®äžã«ãžã§ãªãŒããŒã³ãºãå
¥ããŠéãã 2 ãã³ãã«ããŸãããæ¬¡ã«ãéãã 3 åã«ããã ãã®ãã©ãŠããŒã远å ããŸããããã®åŸãããã« 2 ãã³ãã®ãžã§ãªãŒããŒã³ãºã远å ããŸãããæåŸã«ãéããåã³åã«ããã ãã®ã¬ã ã¯ãŒã ã远å ããŸãããç®±ã®æçµçãªéãã¯ããã³ãã§ããã€ã§ãããïŒ
|
ãŸããã±ã³ãæåã«ç®±ã«å
¥ãããžã§ãªãŒããŒã³ãºã®éã㯠2 ãã³ãã§ãã
次ã«ãéãã 3 åã«ãããã©ãŠããŒã远å ããŸããã
ãã®ããããã©ãŠããŒã®éã㯠2 ãã³ã à 3 = 6 ãã³ãã§ãã
次ã«ãããã« 2 ãã³ãã®ãžã§ãªãŒããŒã³ãºã远å ããŸãã
ãã®æç¹ã§ã®éã㯠2 ãã³ã + 6 ãã³ã + 2 ãã³ã = 10 ãã³ãã§ãã
æåŸã«ãéããåã³åã«ããã¬ã ã¯ãŒã ã远å ããŸãã
ãã®ãããã¬ã ã¯ãŒã ã®éã㯠10 ãã³ã à 1 = 10 ãã³ãã§ãã
ãããã£ãŠãç®±ã®æçµçãªéã㯠10 ãã³ã + 10 ãã³ã = 20 ãã³ãã§ãã
æçµçã«ãç®±ã®éã㯠20 ãã³ãã§ãã®ã§ãåçã¯ã####20ããšãªããŸãã
|
41 |
ã¢ã¬ã¯ã·ã¹ã¯æ°ããä»äºã«å¿åããããã«ã颿¥ã§çãæ°ããããžãã¹ãŠã§ã¢ã賌å
¥ããŸããã圌女ã¯äºç®ã $200 ã®ãããŒãã«è¡ãããã¿ã³ããŠã³ã·ã£ãã« $30ãã¹ãŒããã³ãã« $46ãã¹ãŒãã³ãŒãã« $38ãéŽäžã« $11ããã«ãã« $18 ãè²»ãããŸããããŸããéŽã賌å
¥ããŸãããããã®ã¬ã·ãŒãã倱ãããŠããŸããŸããã圌女ã¯äºç®ãã $16 ãæ®ããŠããŸããã¢ã¬ã¯ã·ã¹ã¯éŽã«ãããæ¯æã£ãã®ã§ããããïŒ
|
ã¢ã¬ã¯ã·ã¹ã®ç·äºç®ã¯ $200 ã§ãã圌女ã¯éŽä»¥å€ã«ä»¥äžã®éé¡ãæ¯åºããŸããïŒ
- ãã¿ã³ããŠã³ã·ã£ã: $30
- ã¹ãŒããã³ã: $46
- ã¹ãŒãã³ãŒã: $38
- éŽäž: $11
- ãã«ã: $18
ãããã®åèšãèšç®ããŸãã
åèšæ¯åº = $30 + $46 + $38 + $11 + $18
åèšæ¯åº = $143
ã¢ã¬ã¯ã·ã¹ã®äºç®ããæ®ã£ãŠããéé¡ã¯ $16 ãªã®ã§ã圌女ãéŽã«æ¯æã£ãéé¡ã¯ä»¥äžã®ããã«èšç®ã§ããŸãã
éŽã®äŸ¡æ Œ = ç·äºç® - åèšæ¯åº - æ®ã£ãéé¡
éŽã®äŸ¡æ Œ = $200 - $143 - $16
éŽã®äŸ¡æ Œ = $41
ãããã£ãŠãã¢ã¬ã¯ã·ã¹ã¯éŽã« $41 æ¯æããŸããã
åçã¯ä»¥äžã®éãã§ãïŒ
#### 41
|
990 |
ãã£ãã¯æçµŠ $18.00 ã皌ããŸããã·ããã§ 8 æé以äžåããšãæçµŠã«å ããŠæçµŠã®ååãå ç®ããããªãŒããŒã¿ã€ã ãæ¯çµŠãããŸãã圌女ã 1 æ¥ 10 æéã 5 æ¥éåããå Žåã圌女ã¯ããã皌ããŸããïŒ
|
ãã£ãã®åºæ¬æçµŠã¯ $18.00 ã§ãããªãŒããŒã¿ã€ã ã¯ãåºæ¬æçµŠã®1.5åã§èšç®ãããŸãã
ãŸãã圌女ãåããæéã確èªããŸãããïŒ
- 1æ¥ã« 10 æéåãã5 æ¥éåããŸãã
- 10 æé - 8 æé = 2 æéããªãŒããŒã¿ã€ã ã«ãªããŸãã
次ã«ãåºæ¬ã®8æéãšãªãŒããŒã¿ã€ã ã®éé¡ãèšç®ããŸãã
1. **åºæ¬ã®æçµŠã§ã®åå
¥ïŒ8æéåïŒ**:
\[
8 \text{æé} \times 18 \text{ãã«} = 144 \text{ãã«}
\]
2. **ãªãŒããŒã¿ã€ã ã®æçµŠ**:
\[
18 \text{ãã«} \times 1.5 = 27 \text{ãã«}
\]
3. **ãªãŒããŒã¿ã€ã ã®åå
¥ïŒ2æéåïŒ**:
\[
2 \text{æé} \times 27 \text{ãã«} = 54 \text{ãã«}
\]
4. **1æ¥ã®åèšåå
¥**:
\[
144 \text{ãã«} + 54 \text{ãã«} = 198 \text{ãã«}
\]
5. **5æ¥éã®åèšåå
¥**:
\[
198 \text{ãã«} \times 5 = 990 \text{ãã«}
\]
ãããã£ãŠããã£ãã5æ¥éã§çšŒãåèšéé¡ã¯ $990 ã§ãã
åçã¯ïŒ
#### 990
|
121 |
æ·±æµ·ã®æªç©ã¯ã100 幎ã«äžåºŠãè¹ãé£ã¹ãŠé£¢ããæºããããã«æ°Žé¢ã«çŸããŸãã300 幎ã®éã«ããã®æªç©ã¯ 847 人ãé£ã¹ãŸãããè¹ã¯æéãšãšãã«å€§ãããªã£ãŠãããæ°ããè¹ã«ã¯åã®è¹ã® 2 åã®äººæ°ãä¹ã£ãŠããŸããæªç©ãæåã® 100 幎ã«é£ã¹ãè¹ã«ã¯äœäººã®äººãä¹ã£ãŠããŸãããïŒ
|
ãã®åé¡ãè§£ãããã«ã¯ãè¹ã®æ°ãšããããã«ä¹ã£ãŠãã人æ°ãèæ
®ããå¿
èŠããããŸãã
ãŸããæªç©ãçŸããã®ã¯100幎ããšã§ãæåã®100幎ã«ã¯1èã®è¹ãé£ã¹ãããŸããããã®è¹ã«ã¯äººæ°ãxãšããŸãã
次ã®100幎ïŒ200幎ãçµéïŒã¯ãæ°ããè¹ãåã®è¹ã®2åã®äººæ°ãä¹ããŠããã®ã§ãè¹ã«ã¯2x人ãä¹ã£ãŠããŸãã
ããã«æ¬¡ã®100幎ïŒ300幎ãçµéïŒãåæ§ã«ãè¹ã«ã¯4x人ãä¹ã£ãŠããŸãã
ããã§ãæªç©ã300幎ã®éã«é£ã¹ãåèšäººæ°ã¯æ¬¡ã®ããã«ãªããŸãã
- æåã®100幎ïŒx人
- 次ã®100幎ïŒ200幎ïŒïŒ2x人
- æåŸã®100幎ïŒ300幎ïŒïŒ4x人
ãããã®åèšã¯847人ã§ãã
ãããã£ãŠãåŒã¯æ¬¡ã®ããã«ãªããŸãã
x + 2x + 4x = 847
ãããç°¡ç¥åãããšã
7x = 847
x = 847 / 7
x = 121
ãããã£ãŠãæåã®100å¹Žã«æªç©ãé£ã¹ãè¹ã«ã¯121人ãä¹ã£ãŠããŸããã
åçã¯ã####121ããšãªããŸãã
|
5 |
ããã¢ã¹ã¯æ°ããéŽã賌å
¥ãããã®äŸ¡æ Œã¯ 95 ãã«ã§ãã圌ã¯éå» 3 ã¶æéãæ¯æãéã貯ããŠããŸãããåœŒã¯æ¯æ 5 ãã«ã®å°é£ããããã£ãŠããŸãããŸããåºãåã£ãããéªããããããããŠãéã皌ãã§ããŸããåºãåããš 15 ãã«ãéªããããããš 7 ãã«ãè«æ±ããŸããéŽãè²·ã£ãåŸã圌㯠15 ãã«ã®ãé£ããæã£ãŠããŸãã圌ã 4 ã€ã®åºãåã£ãå Žåã圌ã¯äœè»ã®éªãããããŸãããïŒ
|
ããã¢ã¹ã®éŽã®äŸ¡æ Œã¯ 95 ãã«ã§ãã圌ã¯éŽãè²·ã£ãåŸã« 15 ãã«ã®ãé£ããæã£ãŠããŸããã€ãŸãã圌ãéŽãè²·ãããã«äœ¿ã£ãéé¡ã¯æ¬¡ã®ããã«èšç®ã§ããŸãã
éŽã®äŸ¡æ Œ - ãé£ã = 䜿ã£ãéé¡
95 ãã« - 15 ãã« = 80 ãã«
次ã«ãããã¢ã¹ãéå» 3 ã¶æéã«çšŒãã ãéãèšç®ããŸãã
åœŒã¯æ¯æ 5 ãã«ã®å°é£ããããã£ãŠããŸãã®ã§ã3 ã¶æéã§
5 ãã« Ã 3 ã¶æ = 15 ãã«
ãŸãã圌㯠4 ã€ã®åºãåã£ãã®ã§ãåºãåãããšã§çšŒãã ãéã¯
4 Ã 15 ãã« = 60 ãã«
ä»ã圌ã®çšŒãã åèšéé¡ãèšç®ããŸãã
å°é£ã + åºãåãããšã§åŸãéé¡ = 15 ãã« + 60 ãã« = 75 ãã«
次ã«ãéªãããããåæ°ãæ±ããããã«ãããã¢ã¹ã皌ãã åèšéé¡ããå°é£ããšåºãåãåå
¥ãåŒããŠæ®éãæ±ããŸãã
80 ãã« (éŽãè²·ãããã«äœ¿ã£ãéé¡) - (å°é£ã + åºãåã£ããé) = éªããã§åŸããé
80 ãã« - 75 ãã« = 5 ãã«
éªããããããš 7 ãã«ãè«æ±ããã®ã§ãéªããã§åŸããé 5 ãã«ã 7 ãã«ã§å²ã£ãŠåœŒãè¡ã£ãéªããã®åæ°ãæ±ããŸãã
5 ã㫠÷ 7 ãã« = çŽ 0.71 ãšãªãããïŒããã¯åæ°ã«ã¯ã§ããªãããã圌ã¯éªãããè¡ã£ãŠããªããããããŸããïŒã
圌ãããéªããã®åæ°ã¯ 0 åã§ãã
ãããã£ãŠãåçã¯åœŒãããéªããã®åæ°ã§ãã
#### 0
|
85 |
ã©ã³ãã£ã¯èªåã®èŸ²å Žã« 60 æ¬ã®ãã³ãŽãŒã®æšãæã£ãŠããŸãããŸãããã³ãŽãŒã®æšã®ååã®æ°ãã 5 æ¬å°ãªãã³ã³ããã®æšãæã£ãŠããŸããã©ã³ãã£ã¯èŸ²å Žã«åèšã§äœæ¬ã®æšãæã£ãŠããŸããïŒ
|
ã©ã³ãã£ã¯60æ¬ã®ãã³ãŽãŒã®æšãæã£ãŠããŸãããŸããã³ã³ããã®æšã®æ°ã¯ãã³ãŽãŒã®æšã®ååã®æ°ãã5æ¬å°ãªããšãããŸãã
ãŸãããã³ãŽãŒã®æšã®ååã®æ°ãèšç®ããŸãïŒ
60 ÷ 2 = 30
次ã«ãã³ã³ããã®æšã®æ¬æ°ã¯ãã®æ°ãã5æ¬å°ãªãã®ã§ïŒ
30 - 5 = 25
ããã§ãã³ã³ããã®æšã¯25æ¬ã§ãã
次ã«ãã©ã³ãã£ã®èŸ²å Žå
šäœã®æšã®æ¬æ°ãæ±ããŸãïŒ
ãã³ãŽãŒã®æš 60æ¬ + ã³ã³ããã®æš 25æ¬ = 85æ¬
ãããã£ãŠãã©ã³ãã£ã¯èŸ²å Žã«åèšã§85æ¬ã®æšãæã£ãŠããŸãã
åçïŒ####85
|
35 |
ãžã£ã¹ããŒã¯ãã£ããŒããŒãã£ãŒã§ãã£ãŒã·ã¥ããªãŒãæäŸããŸãã圌ã¯ãã§ããŒããŒãºã 2 ãã³ã $10 ã§è³Œå
¥ãããã§ããŒããŒãºã®åé¡ã®ããŒãºã¯ãªãŒã ã 1 ãã³ã賌å
¥ãããã§ããŒããŒãºã® 2 åã®äŸ¡æ Œã®ã³ãŒã«ãã«ããã賌å
¥ããŸããåœŒã¯ææã«ãããè²»ãããŸããïŒ
|
ãŸãããžã£ã¹ããŒã賌å
¥ããåé
ç®ã®è²»çšãèšç®ããŸãã
1. **ãã§ããŒããŒãº**:
- äŸ¡æ Œ: $10ïŒ2ãã³ãïŒ
- 1ãã³ããããã®äŸ¡æ Œ: $10 / 2 = $5
2. **ããŒãºã¯ãªãŒã **ïŒãã§ããŒããŒãºã®åé¡ïŒ:
- 1ãã³ãã®äŸ¡æ Œ: $5 / 2 = $2.50
- åèšè²»çš: $2.50ïŒ1ãã³ãïŒ
3. **ã³ãŒã«ãã«ãã**ïŒãã§ããŒããŒãºã®2åã®äŸ¡æ ŒïŒ:
- 1ãã³ããããã®äŸ¡æ Œ: $5 à 2 = $10
- åèšè²»çš: $10ïŒ1ãã³ãïŒ
次ã«ãå
šãŠã®ææã®åèšéé¡ãèšç®ããŸãã
- ãã§ããŒããŒãº: $10
- ããŒãºã¯ãªãŒã : $2.50
- ã³ãŒã«ãã«ãã: $10
åèš:
\[
10 + 2.50 + 10 = 22.50
\]
ãããã£ãŠããžã£ã¹ããŒã¯ææã«åèšã§ $22.50 ãè²»ãããŸããã
æçµçãªåçã¯ã$22.50 ã§ãã®ã§ãæ°åã§è¡šããšæ¬¡ã®ããã«ãªããŸãã
#### 22.50
|
5 |
ãžã§ã€ã¯ 20 åã§æ¬ã® 8 ããŒãžãèªãããšãã§ããŸãã圌女ã 120 ããŒãžãèªãã®ã«äœæéããããŸããïŒ
|
ãžã§ã€ã¯ 20 åã§ 8 ããŒãžãèªãããšãã§ããŸãããŸãã圌女ã 1 ããŒãžãèªãã®ã«ãããæéãèšç®ããŸãã
20 å ÷ 8 ããŒãž = 2.5 å/ããŒãž
次ã«ã120 ããŒãžãèªãã®ã«ãããæéãæ±ããŸãã
120 ããŒãž à 2.5 å/ããŒãž = 300 å
æåŸã«ã300 åãæéã«å€æããŸãã
300 å ÷ 60 å/æé = 5 æé
ãããã£ãŠããžã§ã€ã 120 ããŒãžãèªãã®ã«ãããæé㯠5 æéã§ãã
åç㯠5 #### ã§ãã
|
800 |
ããžãã¹ååŒã®å©çã¯ããã€ã¯ãšãžã§ã³ãœã³ã® 2 人ã®ããžãã¹ããŒãããŒã®éã§ 2:5 ã®æ¯çã§åããããŸãããžã§ã³ãœã³ã $2500 ãåãåã£ãå Žåããã€ã¯ã¯ã·ã£ãã $200 ã§è³Œå
¥ããåŸããããæ®ããŸããïŒ
|
ããžãã¹ååŒã®å©çããã€ã¯ãšãžã§ã³ãœã³ã®éã§åããæ¯ç㯠2:5 ã§ãã
ãžã§ã³ãœã³ãåãåã£ãéé¡ã¯ $2500 ã§ããããã«å¯ŸããŠããã€ã¯ãåãåãéé¡ãæ±ããŸãã
åèšã®æ¯ç㯠2 + 5 = 7 ã§ãã
ãžã§ã³ãœã³ã®åãåãå²å㯠5 ã§ããã€ã¯ã®åãåãå²å㯠2 ã§ãã
ãããã£ãŠããã€ã¯ãåãåãéé¡ã¯æ¬¡ã®ããã«èšç®ã§ããŸãïŒ
\[
\text{ãã€ã¯ã®éé¡} = \frac{2}{7} \times (ãžã§ã³ãœã³ã®éé¡ + ãã€ã¯ã®éé¡)
\]
ãŸããåèšéé¡ããžã§ã³ãœã³ã®éé¡ããéç®ããŠæ±ããŸãïŒ
\[
ãžã§ã³ãœã³ã®éé¡ = \frac{5}{7} \times \text{åèšéé¡}
\]
\[
2500 = \frac{5}{7} \times \text{åèšéé¡}
\]
\[
\text{åèšéé¡} = 2500 \times \frac{7}{5} = 2500 \times 1.4 = 3500
\]
次ã«ããã€ã¯ãåãåãéé¡ãèšç®ããŸãïŒ
\[
ãã€ã¯ã®éé¡ = \frac{2}{7} \times 3500 = 2 \times 500 = 1000
\]
ãã€ã¯ã®æåã®éé¡ã¯ $1000 ã§ãã
ãã€ã¯ã¯ã·ã£ãã $200 ã§è³Œå
¥ããã®ã§ãæ®ãéé¡ãèšç®ããŸãïŒ
\[
æ®ãéé¡ = 1000 - 200 = 800
\]
ãããã£ãŠããã€ã¯ã¯ã·ã£ãã賌å
¥ããåŸã$800 æ®ããŸãã
æçµçãªçãã¯ä»¥äžã®éãã§ãïŒ
#### 800
|
43 |
ãã©ãã¯ã«ã¯ãã³ã¯ã®ããŒããããã 26 åãç·ã®ããŒããããã 15 åãé»è²ã®ããŒããããã 24 åãããŸããã«ãŒã«ã 4 åã®ãã³ã¯ã®ããŒãããããåãé€ãããžã§ã³ã 6 åã®ãã³ã¯ã®ããŒãããããšãåãé€ãããã³ã¯ã®ããŒããããã® 2 åã®ç·ã®ããŒãããããåãé€ããå Žåããã©ãã¯ã«æ®ã£ãããŒããããã®ç·æ°ãèšç®ããŠãã ããã
|
ãŸãããã©ãã¯ã«æåã«ãã£ãããŒããããã®åèšãèšç®ããŸãã
ãã³ã¯ã®ããŒãããã: 26 å
ç·ã®ããŒãããã: 15 å
é»è²ã®ããŒãããã: 24 å
åèš = 26 + 15 + 24 = 65 å
次ã«ãã«ãŒã«ãåãé€ããããŒãããããèããŸãã
ã«ãŒã«ãåãé€ãããã³ã¯ã®ããŒãããã: 4 å
æ®ããã³ã¯ã®ããŒãããã = 26 - 4 = 22 å
次ã«ãžã§ã³ãåãé€ãããŒãããããèšç®ããŸãã
ãžã§ã³ãåãé€ãããã³ã¯ã®ããŒãããã: 6 å
ãã®å Žåããžã§ã³ãåãé€ãç·ã®ããŒããããã®æ°ã¯ãåãé€ãããã³ã¯ã®ããŒããããã® 2 åã§ãã®ã§ã
åãé€ãç·ã®ããŒãããã = 2 * 6 = 12 å
ããŠããžã§ã³ãåãé€ããããŒãããããèæ
®ãããšã
æ®ããã³ã¯ã®ããŒãããã = 22 - 6 = 16 å
æ®ãç·ã®ããŒãããã = 15 - 12 = 3 å
é»è²ã®ããŒããããã¯ãã®ãŸãŸãªã®ã§ 24 åã§ãã
æçµçã«ãæ®ã£ãããŒããããã®åèšãèšç®ããŸãã
æ®ã£ããã³ã¯ã®ããŒãããã: 16 å
æ®ã£ãç·ã®ããŒãããã: 3 å
é»è²ã®ããŒãããã: 24 å
æ®ã£ãããŒããããã®åèš = 16 + 3 + 24 = 43 å
ãããã£ãŠããã©ãã¯ã«æ®ã£ãããŒããããã®ç·æ°ã¯ 43 ã§ãã
åç㯠43 ã§ãã ####43
|
16 |
ãã±ã¯åŸæ©ã§éå€ããã®ã« 2 æéãèªè»¢è»ã§éå€ããã®ã« 1 æéããããŸãããã±ã¯é±ã« 3 ååŸæ©ã§éå€ãã2 åèªè»¢è»ã§éå€ããŸããåŸæ©ãšèªè»¢è»ã䜿ã£ãŠãé±ã«éå€ã«ãããæéã®åèšã¯äœæéã§ããïŒ
|
ãã±ãåŸæ©ã§éå€ããã®ã«2æéããããé±ã«3ååŸæ©ã§éå€ããŸãã
ãããã£ãŠãåŸæ©ã§ã®éå€ã«ãããæéã¯:
2æé Ã 3å = 6æé
次ã«ããã±ãèªè»¢è»ã§éå€ããã®ã«1æéããããé±ã«2åèªè»¢è»ã§éå€ããŸãã
ãããã£ãŠãèªè»¢è»ã§ã®éå€ã«ãããæéã¯:
1æé Ã 2å = 2æé
åèšã®é倿éã¯ãåŸæ©ãšèªè»¢è»ã®æéãè¶³ããŸã:
6æé + 2æé = 8æé
ãããã£ãŠãé±ã«éå€ã«ãããæéã®åèšã¯8æéã§ãã
çãã¯####8
|
16 |
ãã£ã ã¯ã5 æ¥éã®å€åæ¥ã«ããããèªè»¢è»ã§éå€ããåŸåŸ©ã§ 20 ãã€ã«ã®è·é¢ãèµ°ããŸãããŸãã鱿«ã«ã¯ 200 ãã€ã«ã®èªè»¢è»ããŒãªã³ã°ãããŸãã圌㯠1 æéã« 25 ãã€ã«ã®éãã§èªè»¢è»ã«ä¹ããŸãã圌㯠1 é±éã«èªè»¢è»ã«ä¹ãã®ã«ã©ããããã®æéãè²»ãããŸããïŒ
|
ãã£ã ã1é±éã«èªè»¢è»ã«ä¹ãè·é¢ãšæéãèšç®ããŸãã
1. **å¹³æ¥ã®éå€**
- 1æ¥ã®åŸåŸ©è·é¢: 20ãã€ã«
- 5æ¥éã®éå€è·é¢: \( 20 \, \text{ãã€ã«} \times 5 \, \text{æ¥} = 100 \, \text{ãã€ã«} \)
2. **鱿«ã®èªè»¢è»ããŒãªã³ã°**
- 鱿«ã®è·é¢: 200ãã€ã«
3. **1é±éã®ç·è·é¢**
- ç·è·é¢ = å¹³æ¥ã®éå€è·é¢ + 鱿«ã®è·é¢
- ç·è·é¢ = \( 100 \, \text{ãã€ã«} + 200 \, \text{ãã€ã«} = 300 \, \text{ãã€ã«} \)
4. **èªè»¢è»ã«ä¹ãæéã®èšç®**
- éã: 25ãã€ã«/æé
- ç·æé = ç·è·é¢ / éã
- ç·æé = \( 300 \, \text{ãã€ã«} / 25 \, \text{ãã€ã«/æé} = 12 \, \text{æé} \)
ãããã£ãŠããã£ã ã¯1é±éã«èªè»¢è»ã«ä¹ãã®ã«è²»ããæéã¯12æéã§ãã
æçµçãªåçã¯ã####12ã§ãã
|
38 |
ãã©ã¯éµäŸ¿å±ã§åæã賌å
¥ããŸããããã®äžã«ã¯éªã®çµæ¶ã®ãã¶ã€ã³ã®ãã®ããã©ãã¯ã®ãã¶ã€ã³ã®ãã®ããã©ã®ãã¶ã€ã³ã®ãã®ããããŸããããã©ã¯éªã®çµæ¶ã®åæã 11 æè³Œå
¥ããŸããããã©ãã¯ã®åæã¯éªã®çµæ¶ã®åæãã 9 æå€ãããã©ã®åæã¯ãã©ãã¯ã®åæãã 13 æå°ãªã賌å
¥ããŸããããã©ã¯åèšã§äœæã®åæã賌å
¥ããŸãããïŒ
|
ãã©ã賌å
¥ããåæã®ææ°ãããããã®ãã¶ã€ã³ããšã«æŽçããŠã¿ãŸãããã
- éªã®çµæ¶ã®åæã®ææ°: 11 æ
- ãã©ãã¯ã®åæã®ææ°: éªã®çµæ¶ã®åæãã 9 æå€ãã®ã§ã
\[
11 + 9 = 20 \text{ æ}
\]
- ãã©ã®åæã®ææ°: ãã©ãã¯ã®åæãã 13 æå°ãªãã®ã§ã
\[
20 - 13 = 7 \text{ æ}
\]
ã§ã¯ãåèšã®åæã®ææ°ãæ±ããŸãã
\[
11 + 20 + 7 = 38
\]
ãããã£ãŠããã©ã¯åèšã§ 38 æã®åæã賌å
¥ããŸãããåçã¯ä»¥äžã®éãã§ãã
#### 38
|
7 |
ãµãã³ãµã®èåã¯ããããŒã®èåãã3æåå°ãªãããããŒãèªåã®èåãã2æåãåãé€ãã°ããžã§ã€ããŒã®èåã®2åã®é·ãã«ãªãããžã§ã€ããŒã®ãã«ããŒã ã¯ãžã§ã€ããŒã»ã°ã¬ã€ã§ããããµãã³ãµã®èåã«ã¯äœæåãããŸããïŒ
|
ãŸãããžã§ã€ããŒã®ãã«ããŒã ããèåã®é·ãã確èªããŸãã
ãžã§ã€ããŒã»ã°ã¬ã€ã®èåãã°ã¬ã€ãã¯3æåã§ãã
次ã«ãããŒã®èåã®é·ãã \( b \) ãšããŸãããµãã³ãµã®èåã®é·ãã¯ãããŒã®èåãã3æåå°ãªãã®ã§ããµãã³ãµã®èåã®é·ã㯠\( b - 3 \) ã§ãã
ãããŒãèªåã®èåãã2æåãåãé€ããšããã®é·ã㯠\( b - 2 \) ã«ãªããŸããããã¯ãžã§ã€ããŒã®èåã®é·ãã®2åãšçããã®ã§ã次ã®åŒãæãç«ã¡ãŸãã
\[
b - 2 = 2 \times 3
\]
ãã®åŒãè§£ããšã
\[
b - 2 = 6 \\
b = 8
\]
ã€ãŸãããããŒã®èåã¯8æåã§ãã
ãµãã³ãµã®èåã®é·ãã¯ãã®3æåå°ãªãã®ã§ã
\[
b - 3 = 8 - 3 = 5
\]
ãããã£ãŠããµãã³ãµã®èåã¯5æåã§ãã
æçµçãªåçã¯ä»¥äžã®éãã§ãã
#### 5
|
5 |
ã¢ã³ã®ãæ°ã«å
¥ãã®åºãå€ã®ã»ãŒã«ãè¡ã£ãŠããŸããã75 ãã«ã§ã圌女㯠7 ãã«ãã€ã®ã·ã§ãŒãã 5 çµãš 10 ãã«ãã€ã®éŽã 2 çµè³Œå
¥ããŸããããŸããåãäŸ¡æ Œã®ãããã 4 æè³Œå
¥ããŸãããããããã®ãããã¯ãããã§ãããïŒ
|
ã¢ã³ã賌å
¥ããã¢ã€ãã ã®åèšéé¡ãèšç®ããŸãã
ãŸããã·ã§ãŒãã®åèšé¡ãèšç®ããŸãïŒ
- ã·ã§ãŒã㯠7 ãã«ãã€ã§ã5 çµè³Œå
¥ããããã
\( 7 \, \text{ãã«/çµ} \times 5 \, \text{çµ} = 35 \, \text{ãã«} \)
次ã«ãéŽã®åèšé¡ãèšç®ããŸãïŒ
- éŽã¯ 10 ãã«ãã€ã§ã2 çµè³Œå
¥ããããã
\( 10 \, \text{ãã«/çµ} \times 2 \, \text{çµ} = 20 \, \text{ãã«} \)
ã·ã§ãŒããšéŽã®åèšãæ±ããŸãïŒ
\( 35 \, \text{ãã«} + 20 \, \text{ãã«} = 55 \, \text{ãã«} \)
ã¢ã³ã®ç·æ¯åºã¯ 75 ãã«ã§ãã®ã§ããããã«äœ¿ã£ãéé¡ã¯æ¬¡ã®ããã«èšç®ã§ããŸãïŒ
\( 75 \, \text{ãã«} - 55 \, \text{ãã«} = 20 \, \text{ãã«} \)
æåŸã«ã1 æã®ãããã®äŸ¡æ Œãæ±ããããã«ããã®éé¡ã4ã§å²ããŸãïŒ
\( \frac{20 \, \text{ãã«}}{4 \, \text{æ}} = 5 \, \text{ãã«/æ} \)
ãããã£ãŠãããããã®ãããã®äŸ¡æ Œã¯ 5 ãã«ã§ãã
çµæã¯ 5 ã§ãã®ã§ãåçã¯ã####5ããšãªããŸãã
|
62 |
ã¡ã¢ãªãŒã¯åææ¥ã«é£æåã®è²·ãç©ãããŸãã圌女ã¯ç¹å®ã®åºã§è²·ãç©ãããããã§ã¯ $100 ã®ã¯ã¬ãžãããäžããããæ¬¡ã®è²·ãç©ãŸã§ã«å
šé¡ãæ¯æãå¿
èŠããããŸãããã®é±ã圌女ã¯ã¯ã¬ãžããã®äžéãå
šé¡äœ¿ããç«ææ¥ã« $15ãæšææ¥ã« $23 ãæ¯æããŸãããã¡ã¢ãªãŒã¯æ¬¡ã®è²·ãç©ãŸã§ã«ãããã®ã¯ã¬ãžãããæ¯æãå¿
èŠããããŸããïŒ
|
ã¡ã¢ãªãŒã¯$100ã®ã¯ã¬ãžãããåãåããŸããã圌女ã¯ç«ææ¥ã«$15ãæšææ¥ã«$23ãæ¯æã£ãã®ã§ã圌女ã®åèšæ¯åºãèšç®ããŸãã
$15 + $23 = $38
次ã«ãã¡ã¢ãªãŒãæ¯æããªããã°ãªããªãæ®ãã®ã¯ã¬ãžãããèšç®ããŸãã
$100 - $38 = $62
ãããã£ãŠãã¡ã¢ãªãŒã¯æ¬¡ã®è²·ãç©ãŸã§ã«æ¯æãå¿
èŠãããã¯ã¬ãžããã¯$62ã§ãã
åç: ####62
|
110 |
ã©ã«ãã¯ããã¹ããŒã«ãã·ã³ã䜿ã£ãŠããã¹ã®ç·Žç¿ãããäºå®ã§ãããã®ãã·ã³ã¯ã©ã«ããæã€ããã«ããã¹ããŒã«ãçºå°ããŸããã©ã«ãã¯æåã« 175 åã®ããã¹ããŒã«ããã·ã³ã«è£
å¡«ããŸããæåã® 100 åã®ããŒã«ã®ãã¡ã圌㯠2/5 ãæã¡ãŸãããæ¬¡ã® 75 åã®ããã¹ããŒã«ã®ãã¡ã圌㯠1/3 ãæã¡ãŸããããã¹ãŠã®ããã¹ããŒã«ã®ãã¡ãã©ã«ããæããªãã£ãããŒã«ã¯ããã€ã§ããïŒ
|
ãŸããã©ã«ããæã£ãããã¹ããŒã«ã®æ°ãèšç®ããŸãããã
æåã®100åã®ããã¹ããŒã«ã®ãã¡ãã©ã«ãã¯2/5ãæã¡ãŸããã
\[
\text{æã£ãããŒã«ã®æ°} = 100 \times \frac{2}{5} = 40
\]
次ã®75åã®ããã¹ããŒã«ã®ãã¡ãã©ã«ãã¯1/3ãæã¡ãŸããã
\[
\text{æã£ãããŒã«ã®æ°} = 75 \times \frac{1}{3} = 25
\]
次ã«ãã©ã«ããæã£ãããŒã«ã®åèšãèšç®ããŸãã
\[
\text{åèšã§æã£ãããŒã«ã®æ°} = 40 + 25 = 65
\]
ã©ã«ããæåã«è£
å¡«ããããã¹ããŒã«ã®ç·æ°ã¯175åã§ãããã®ãããã©ã«ããæããªãã£ãããŒã«ã®æ°ãèšç®ããŸãã
\[
\text{æããªãã£ãããŒã«ã®æ°} = 175 - 65 = 110
\]
以äžã®èšç®ãããã©ã«ããæããªãã£ãããŒã«ã®æ°ã¯110åã§ãããããã£ãŠãåçã¯ïŒ
#### 110
|
400 |
ãžã£ãã¯ã¯ç æŒ ã®å³¶ã«åãæ®ãããŠããŸãã圌ã¯éã«å¡©ãå³ä»ãããããšæã£ãŠããŸãã圌ã¯å€ããã±ãã«æµ·æ°Žã 2 ãªããã«éããŸãããæ°Žã 20% ã®å¡©åæ¿åºŠã§ããå Žåããã¹ãŠã®æ°Žãèžçºãããšãããžã£ãã¯ã¯äœããªãªããã«ã®å¡©ãåŸãããšãã§ããŸããïŒ
|
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ã¢ã³ãã®å°åºïŒ
- å®¶ã®æ°: 60è»
- 1è»ãããã®ãèåã®æ°: 14å
ãããã£ãŠãã¢ã³ãã®ãèåã®ç·æ°ã¯ïŒ
\[ 60 \text{è»} \times 14 \text{å/è»} = 840 \text{å} \]
次ã«ãããªãŒãããããèåã®ç·æ°ã¯ã以äžã®ããã«èšç®ã§ããŸãã
ããªãŒã®å°åºïŒ
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- 1è»ãããã®ãèåã®æ°: 11å
ãããã£ãŠãããªãŒã®ãèåã®ç·æ°ã¯ïŒ
\[ 75 \text{è»} \times 11 \text{å/è»} = 825 \text{å} \]
次ã«ãã¢ã³ããããªãŒããäœåå€ãã®ãèåãããã£ãããèšç®ããŸãïŒ
\[ 840 \text{å} - 825 \text{å} = 15 \text{å} \]
ãã£ãŠãã¢ã³ãã¯ããªãŒãã15åå€ãã®ãèåãããããŸãã
æçµçãªåçã¯ïŒ#### 15
|
476 |
ã³ã³ãµãŒãã®ãã±ãã㯠1 æ 40 ãã«ã§ãããã³ãœã³æ°ã¯ 12 æã®ãã±ããã賌å
¥ãã10 æãè¶
ãããã±ããããšã« 5% ã®å²åŒãåããŸããããã³ãœã³æ°ã¯åèšã§ãããæ¯æããŸãããïŒ
|
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¥ãããã±ããã®ææ°ã¯ 12 æã§ã1 æã®ãã±ããã®äŸ¡æ Œã¯ 40 ãã«ã§ãã
ãã±ããã®åèšéé¡ãèšç®ããŸãã
\[
12 \text{ æ} \times 40 \text{ ãã«} = 480 \text{ ãã«}
\]
10 æãè¶
ãããã±ããã«ã€ããŠã¯ 5% ã®å²åŒãé©çšãããŸãã10 æãè¶
ãããã±ãã㯠12 æ - 10 æ = 2 æã§ãã
2 æã®ãã±ããã«å¯ŸããŠå²åŒãèšç®ããŸãã
\[
40 \text{ ãã«} \times 0.05 = 2 \text{ ãã«} \text{ïŒ1 æãããã®å²åŒïŒ}
\]
2 æã®å²åŒé¡ã¯ïŒ
\[
2 \text{ æ} \times 2 \text{ ãã«} = 4 \text{ ãã«}
\]
ãããã£ãŠããã³ãœã³æ°ãæ¯æãåèšéé¡ã¯ãæåã®åèšéé¡ããå²åŒé¡ãåŒããŸãã
\[
480 \text{ ãã«} - 4 \text{ ãã«} = 476 \text{ ãã«}
\]
ãããã£ãŠããã³ãœã³æ°ãåèšã§æ¯æã£ãéé¡ã¯ 476 ãã«ã§ãã
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#### 476
|
500 |
ãµã©ã¯éŽã $50 ã§ããã¬ã¹ã $200 ã§è³Œå
¥ããŸãããã©ã·ã§ã«ã¯ãµã©ãéŽãšãã¬ã¹ã«ãããéé¡ã® 2 åã䜿ããããšèããŠããŸããã©ã·ã§ã«ã¯ãããäºç®ãç«ãŠãã¹ãã§ããïŒ
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50 + 200 = 250
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|
99 |
12å¹ã®ç¿ã®å®¶æã10ã€ã®ãããã®å±±ãéããŸããã6ã€ã®å±±ã«ã¯ãããã9æ¬ã®æããããåæã«ã¯14åã®ãããããããŸãããæ®ãã®å±±ã«ã¯ãããã12æ¬ã®æããããåæã«ã¯9åã®ãããããããŸãããç¿ãã¡ãããããå¹³çã«åããå Žåãåç¿ã¯äœåã®ããããããããŸããïŒ
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1. 6ã€ã®å±±ïŒ
- åå±±ã«9æ¬ã®æããããåæã«ã¯14åã®ããããããããã1ã€ã®å±±ã«ã¯ïŒ
\( 9 \times 14 = 126 \) åã®ãããããããŸãã
- 6ã€ã®å±±ã§ã¯ïŒ
\( 6 \times 126 = 756 \) åã®ãããã§ãã
2. æ®ãã®4ã€ã®å±±ïŒ
- åå±±ã«12æ¬ã®æããããåæã«ã¯9åã®ããããããããã1ã€ã®å±±ã«ã¯ïŒ
\( 12 \times 9 = 108 \) åã®ãããããããŸãã
- 4ã€ã®å±±ã§ã¯ïŒ
\( 4 \times 108 = 432 \) åã®ãããã§ãã
3. å
šéšã®ãããã®åèšïŒ
\( 756 + 432 = 1188 \) åã®ãããããããŸãã
4. 12å¹ã®ç¿ã«åããïŒ
åç¿ããããããããã®æ°ã¯ïŒ
\( \frac{1188}{12} = 99 \) åã§ãã
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|
60 |
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|
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2. 1åç®ã®è¿œå ã®å°é: 4æ£ Ã 2 = 8æ£
3. 2åç®ã®è¿œå ã®å°é: 8æ£ Ã 2 = 16æ£
4. 3åç®ã®è¿œå ã®å°é: 16æ£ Ã 2 = 32æ£
åèšã®å壿£æ°ã¯æ¬¡ã®ããã«èšç®ããŸãã
4æ£ + 8æ£ + 16æ£ + 32æ£ = 60æ£
ãããã£ãŠãåèšã§åå£ãã建ç©ã¯60æ£ã§ãã
#### 60
|
300 |
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è²»ã«15%ã嚯楜ã«25%ã䜿ããæ®ãã¯èª²é¡ã®ããã®ææã«äœ¿ããŸãããžã§ãŒã ãºã¯èª²é¡ã®ããã®ææã«ããã䜿ããŸããïŒ
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é£è²» = 1,000ãã« Ã 0.30 = 300ãã«
2. äœå±
è²»: 15%
äœå±
è²» = 1,000ãã« Ã 0.15 = 150ãã«
3. 嚯楜: 25%
嚯楜 = 1,000ãã« Ã 0.25 = 250ãã«
次ã«ããããã®è²»çšãåèšããŸãã
åèšæ¯åº = é£è²» + äœå±
費 + 嚯楜
åèšæ¯åº = 300ãã« + 150ãã« + 250ãã« = 700ãã«
次ã«ãæ®ãã®éé¡ãèšç®ããŸãã
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åçã¯300ã§ãã
#### 300
|
99 |
ã¢ãŽã¡ã®èªçæ¥ããŒãã£ãŒã®ããã䞡芪ã¯ãŠãã³ãŒã³ã®ããã£ãŒã¿ã $13 ã§è³Œå
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2. ã¬ã¹ã©ãŒãºã®è¢ïŒ4åïŒ:
\[
4 \text{ å} \times 9 \text{ ãã«} = 36 \text{ ãã«}
\]
3. ã¹ããã«ãŒãºã®è¢ïŒ3åïŒ:
\[
3 \text{ å} \times 5 \text{ ãã«} = 15 \text{ ãã«}
\]
4. ã¹ãããã«ãºã®è¢ïŒ5åïŒ:
\[
5 \text{ å} \times 7 \text{ ãã«} = 35 \text{ ãã«}
\]
次ã«ããããããã¹ãŠè¶³ãåãããŸãã
\[
13 \text{ ãã«} + 36 \text{ ãã«} + 15 \text{ ãã«} + 35 \text{ ãã«} = 99 \text{ ãã«}
\]
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|
15 |
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šã«ããŠã³ããŒãããã®ã«äœç§ããããŸããïŒ
|
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é床ã¯1ç§ããã5ã¡ã¬ãã€ããªã®ã§ã
\[
\text{æé} = \frac{\text{ãµã€ãº}}{\text{é床}} = \frac{60 \text{ ã¡ã¬ãã€ã}}{5 \text{ ã¡ã¬ãã€ã/ç§}} = 12 \text{ ç§}
\]
次ã«ãæ®ãã®30ã¡ã¬ãã€ããããŠã³ããŒãããã®ã«ãããæéãèšç®ããŸããä»åºŠã¯é床ã1ç§ããã10ã¡ã¬ãã€ãã§ãã®ã§ã
\[
\text{æé} = \frac{30 \text{ ã¡ã¬ãã€ã}}{10 \text{ ã¡ã¬ãã€ã/ç§}} = 3 \text{ ç§}
\]
ãã¡ã€ã«ãå®å
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\[
\text{ç·æé} = 12 \text{ ç§} + 3 \text{ ç§} = 15 \text{ ç§}
\]
ãããã£ãŠããã¡ã€ã«ãå®å
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çã㯠#### 15 ã§ãã
|
10 |
ãµã ã¯ã«ã«ãã¹ããã6æ¡å€ãã®ååšçãæèšããŸãããããŒãã¯ã«ã«ãã¹ãæèšããæ¡æ°ã®6åã®ååšçãæèšããŸãããããŒãã24æ¡ã®ååšçãæèšããå Žåããµã ã¯äœæ¡ã®ååšçãæèšããŸãããïŒ
|
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ã«ã«ãã¹ãæèšããæ¡æ°ã \( x \) ãšãããšãããŒãã®æèšããæ¡æ°ã¯æ¬¡ã®ããã«è¡šãããŸãïŒ
\[
6x = 24
\]
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\[
x = \frac{24}{6} = 4
\]
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次ã«ããµã ã¯ã«ã«ãã¹ããã6æ¡å€ãã®ååšçãæèšããã®ã§ããµã ãæèšããæ¡æ°ã¯æ¬¡ã®ããã«èšç®ã§ããŸãïŒ
\[
4 + 6 = 10
\]
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#### 10
|
48 |
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|
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\[
ãã³ã®è²æ®»ã®æ° = \frac{36}{3} = 12
\]
次ã«ãã¢ã©ã³ã¯ãã³ãéããè²æ®»ã®4åãéããã®ã§ã
\[
ã¢ã©ã³ã®è²æ®»ã®æ° = 4 \times 12 = 48
\]
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æçµçãªåçã¯ã48ã§ãã
åçïŒ####48
|
5 |
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\[
100 \text{ãã«} \times 4 \text{ã¶æ} = 400 \text{ãã«}
\]
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ã·ãŒãºã³äžã¯4ã¶æéãªã®ã§ã1幎ã®ãã¡8ã¶æïŒ12ã¶æ - 4ã¶æïŒãéçãããªãæã§ãã
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\[
\frac{400 \text{ãã«}}{10 \text{ãã«/ä»äº}} = 40 \text{ä»äº}
\]
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\[
\frac{40 \text{ä»äº}}{8 \text{ã¶æ}} = 5 \text{ä»äº/æ}
\]
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160 |
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\[
16 \text{ ãã£ãŒã} \times 12 \text{ ãã£ãŒã} = 192 \text{ å¹³æ¹ãã£ãŒã}
\]
次ã«ããªãã³ã°ã«ãŒã çšã«ã«ããããåžã®é¢ç©ãèšç®ããŸãïŒ
\[
4 \text{ ãã£ãŒã} \times 6 \text{ ãã£ãŒã} = 24 \text{ å¹³æ¹ãã£ãŒã}
\]
次ã«ããããã«ãŒã çšã«ã«ããããåžã®é¢ç©ãèšç®ããŸãïŒ
\[
2 \text{ ãã£ãŒã} \times 4 \text{ ãã£ãŒã} = 8 \text{ å¹³æ¹ãã£ãŒã}
\]
ãªãã³ã°ã«ãŒã çšãšãããã«ãŒã çšã§åã£ãåžã®åèšé¢ç©ã¯ïŒ
\[
24 \text{ å¹³æ¹ãã£ãŒã} + 8 \text{ å¹³æ¹ãã£ãŒã} = 32 \text{ å¹³æ¹ãã£ãŒã}
\]
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\[
192 \text{ å¹³æ¹ãã£ãŒã} - 32 \text{ å¹³æ¹ãã£ãŒã} = 160 \text{ å¹³æ¹ãã£ãŒã}
\]
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36 |
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¥ããŸãããã¢ã€ã¹ã¯ãªãŒã ã® 1 ååœããã®å€æ®µã¯ 4 ãã«ããããŒãºã³ãšãŒã°ã«ãã® 1 ååœããã®å€æ®µã¯ 1 ãã«ã§ããã±ã€ã¬ãã¯ã¢ã€ã¹ã¯ãªãŒã ã«å¯ŸããŠãããŒãºã³ãšãŒã°ã«ãã«æ¯ã¹ãŠãããå€ãæ¯æããŸãããïŒ
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ãŸããã±ã€ã¬ããã¢ã€ã¹ã¯ãªãŒã ã«æ¯æã£ãéé¡ãèšç®ããŸãã
ã¢ã€ã¹ã¯ãªãŒã ã®åæ°ã¯ 10 åã§ã1 ååœããã®å€æ®µã¯ 4 ãã«ã§ãããããã£ãŠãã¢ã€ã¹ã¯ãªãŒã ã«æ¯æã£ãéé¡ã¯æ¬¡ã®ããã«ãªããŸãã
10 å Ã 4 ãã« = 40 ãã«
次ã«ããããŒãºã³ãšãŒã°ã«ãã«æ¯æã£ãéé¡ãèšç®ããŸãã
ãããŒãºã³ãšãŒã°ã«ãã®åæ°ã¯ 4 åã§ã1 ååœããã®å€æ®µã¯ 1 ãã«ã§ãããããã£ãŠããããŒãºã³ãšãŒã°ã«ãã«æ¯æã£ãéé¡ã¯æ¬¡ã®ããã«ãªããŸãã
4 å Ã 1 ãã« = 4 ãã«
次ã«ãã¢ã€ã¹ã¯ãªãŒã ã«å¯Ÿããæ¯æé¡ãšãããŒãºã³ãšãŒã°ã«ãã«å¯Ÿããæ¯æé¡ã®å·®ãæ±ããŸãã
40 ãã« - 4 ãã« = 36 ãã«
ãããã£ãŠãã±ã€ã¬ãã¯ã¢ã€ã¹ã¯ãªãŒã ã«å¯ŸããŠãããŒãºã³ãšãŒã°ã«ãã«æ¯ã¹ãŠ 36 ãã«å€ãæ¯æããŸããã
åç㯠36 ã§ãã®ã§ãæçµçãªæ°åã¯ä»¥äžã®éãã§ãã
#### 36
|
11 |
ã¬ã€ãã§ã«ã¯è¿æã§ã¢ã«ãã€ããã㊠28 ãã«ã皌ããŸããããã®ãã¡ã® 1/7 ããã«ã¯ã·ã§ã€ã¯ã«äœ¿ããæ®ãã®ååã貯éã«å
¥ããŸãããæ®ãã®ãéã財åžã«å
¥ããŠãããŸããããç¬ã財åžãç ŽããŠäžã®ãéãã»ãšãã©ç ŽãæšãŠãŠããŸãã1 ãã«ã ãæ®ããŸãããã¬ã€ãã§ã«ã¯ãããã®ãéã倱ããŸãããïŒ
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ãŸããã¬ã€ãã§ã«ã皌ãã éé¡ã¯ 28 ãã«ã§ãã
1. 圌女ã¯ãã®ãã¡ã® 1/7 ããã«ã¯ã·ã§ã€ã¯ã«äœ¿ããŸããã
- ãã«ã¯ã·ã§ã€ã¯ã«äœ¿ã£ãéé¡ = 28 ãã« Ã (1/7) = 4 ãã«
2. 次ã«ãæ®ãã®ãéãèšç®ããŸãã
- æ®ã = 28 ãã« - 4 ãã« = 24 ãã«
3. æ®ãã®ååã貯éã«å
¥ããŸããã
- 貯éã«å
¥ããéé¡ = 24 ãã« Ã (1/2) = 12 ãã«
4. æ®ãã®ãéã¯æ¬¡ã®ããã«èšç®ããŸãã
- æ®ã = 24 ãã« - 12 ãã« = 12 ãã«
5. ããããç¬ã財åžãç Žã㊠1 ãã«ã ãæ®ã£ãã®ã§ã圌女ã倱ã£ããéã¯æ¬¡ã®ããã«èšç®ããŸãã
- 倱ã£ãéé¡ = æ®ã£ãŠãããé - æ®ã£ããé = 12 ãã« - 1 ãã« = 11 ãã«
ãããã£ãŠãã¬ã€ãã§ã«ã倱ã£ããé㯠11 ãã«ã§ãã
çã: #### 11
|
75 |
åºã«ã¯åèšã§ 25 茪ã®ãã©ã40 茪ã®ãã¥ãŒãªããã35 茪ã®ãã¯ããããŸãããã©ä»¥å€ã®è±ã®å²åã¯äœããŒã»ã³ãã§ããïŒ
|
ãŸããåºã«ããè±ã®åèšãèšç®ããŸãã
- ãã©: 25 茪
- ãã¥ãŒãªãã: 40 茪
- ãã¯: 35 茪
åèš:
\[
25 + 40 + 35 = 100 \text{ 茪}
\]
次ã«ããã©ä»¥å€ã®è±ã®æ¬æ°ãèšç®ããŸãã
ãã©ä»¥å€ã®è±ã®æ¬æ°:
\[
40 + 35 = 75 \text{ 茪}
\]
次ã«ããã©ä»¥å€ã®è±ã®å²åãæ±ããŸããå
šäœã«å¯Ÿããå²åã¯æ¬¡ã®ããã«èšç®ããŸãã
\[
\text{å²å} = \left( \frac{\text{ãã©ä»¥å€ã®è±ã®æ°}}{\text{å
šäœã®è±ã®æ°}} \right) \times 100
\]
ããã«æ°å€ã代å
¥ããŸãã
\[
\text{å²å} = \left( \frac{75}{100} \right) \times 100 = 75\%
\]
ãããã£ãŠããã©ä»¥å€ã®è±ã®å²å㯠75 ããŒã»ã³ãã§ããåçã¯ïŒ
#### 75
|
45 |
ã¬ãªã®èª²é¡ã¯3ã€ã®éšåã«åãããŠããŸãããåœŒã¯æåã®éšåã25åã§çµããŸããã2çªç®ã®éšåãçµããã®ã«ã¯ããã®2åã®æéãããããŸãããã¬ãªã¯èª²é¡ã2æéã§çµããŸãããã¬ãªã¯èª²é¡ã®3çªç®ã®éšåãäœåã§çµããŸãããïŒ
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ã¬ãªã®èª²é¡ã®åéšåã«ãããæéãèšç®ããŸãããã
1. æåã®éšåïŒ25å
2. 2çªç®ã®éšåïŒãã®2åã®æéãªã®ã§ã25å à 2 = 50å
æåãš2çªç®ã®éšåã®åèšæéãèšç®ããŸãã
25å + 50å = 75å
次ã«ãã¬ãªã課é¡å
šäœãçµããã®ã«ããã£ãæéã¯2æéãªã®ã§ããããåã«å€æããŸãã
2æé = 2 Ã 60 = 120å
課é¡ã®3çªç®ã®éšåã«ããã£ãæéã¯ãå
šäœã®æéããæåãš2çªç®ã®éšåã®åèšæéãåŒããŸãã
120å - 75å = 45å
ãããã£ãŠãã¬ãªã¯èª²é¡ã®3çªç®ã®éšåã45åã§çµããŸããã
åçã¯ã####45ãã§ãã
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¥ããŸããããã§ã³ãããã¯ãããŒã«ã¯ãã®ååã䜿çšããããŒããããã¿ãŒã¯ãããŒã«ã¯ 1/5 ã䜿çšããæ®ãã®ãã¿ãŒã® 1/3 ãã·ã¥ã¬ãŒã¯ãããŒã«äœ¿çšããŸããããããã® 3 çš®é¡ã®ã¯ãããŒãäœã£ãåŸãäœããã°ã©ã ã®ãã¿ãŒãæ®ã£ãŠããŸããïŒ
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1. ãã§ã³ãããã¯ãããŒã«ã¯ãã®ååã䜿çšããŸãã
䜿çšããé: \( \frac{10}{2} = 5 \) ããã°ã©ã
2. ããŒããããã¿ãŒã¯ãããŒã«ã¯ 1/5 ã䜿çšããŸãã
䜿çšããé: \( \frac{10}{5} = 2 \) ããã°ã©ã
3. çŸåšã®æ®ãã®ãã¿ãŒã¯:
\( 10 - 5 - 2 = 3 \) ããã°ã©ã
4. æ®ãã®ãã¿ãŒã® 1/3 ãã·ã¥ã¬ãŒã¯ãããŒã«äœ¿çšããŸãã
䜿çšããé: \( \frac{3}{3} = 1 \) ããã°ã©ã
5. æçµçã«æ®ããã¿ãŒã¯:
\( 3 - 1 = 2 \) ããã°ã©ã
ãããã£ãŠããªã¶ãã¯ãããŒãäœã£ãåŸã«æ®ã£ãŠãããã¿ãŒã®é㯠2 ããã°ã©ã ã§ãã
çãã¯ã####2ãã§ãã
|
320 |
çµ±èšåŠã®åŠçã¯äžåŠçã®å¹³åæ¥åœãç¥ããããšèããŠããŸãã圌ã®èª¿æ»ã«ãããšãçåŸã® 2/3 ã 1 æ¥ãããå¹³å $6 ã®æåœãåãåããæ®ãã®çåŸã¯ 1 æ¥ãããå¹³å $4 ãåãåããŸãã圌ã調æ»ããçåŸã¯ 60 人ã§ãããããã® 60 人ã®çåŸã 1 æ¥ã«åèšã§ãããã®ãéãåãåãããæ±ããªããã
|
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çåŸã® 2/3 ã 1 æ¥ãããå¹³å $6 ã®æåœãåãåãã®ã§ããã®äººæ°ãèšç®ããŸãã
\[
\frac{2}{3} \times 60 = 40 \text{ 人}
\]
æ®ãã®çåŸã¯ 1 æ¥ãããå¹³å $4 ã®æåœãåãåããŸãããã®äººæ°ã¯æ¬¡ã®ããã«èšç®ã§ããŸãã
\[
60 - 40 = 20 \text{ 人}
\]
次ã«ãããããã®ã°ã«ãŒãã®1æ¥ã®åèšæåœãèšç®ããŸãã
$6 ã®æåœãåãåãçåŸã®åèšæåœïŒ
\[
40 \text{ 人} \times 6 \text{ ãã«} = 240 \text{ ãã«}
\]
$4 ã®æåœãåãåãçåŸã®åèšæåœïŒ
\[
20 \text{ 人} \times 4 \text{ ãã«} = 80 \text{ ãã«}
\]
æåŸã«ãäž¡æ¹ã®ã°ã«ãŒãã®åèšæåœãæ±ããŸãã
\[
240 \text{ ãã«} + 80 \text{ ãã«} = 320 \text{ ãã«}
\]
ãããã£ãŠããããã® 60 人ã®çåŸã 1 æ¥ã«åèšã§åãåãéé¡ã¯ $320 ã§ãã
çãã¯ã####320ãã§ãã
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120 |
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ã®åŽæ°Žããã³ã€ã³ãéããªããã°ãªããŸãããæåã®1æéã§ã圌女ã¯15æã®ã³ã€ã³ãéããŸãããæ¬¡ã®2æéã§ã圌女ã¯åŽæ°Žãã35æã®ã³ã€ã³ãéããŸããã4æéç®ã«ã¯ã圌女ã¯åŽæ°Žãã50æã®ã³ã€ã³ãéããŸãããããã®ãã¡15æãååã«æž¡ããŠããžã¥ãŒã¹ãè²·ãããã«äœ¿ããŸããã4æéç®ã®åŸã圌女ã¯äœæã®ã³ã€ã³ãæã£ãŠããŸãããïŒ
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1. æåã®1æéã§éããã³ã€ã³: 15æ
2. 次ã®2æéã§ã®éããã³ã€ã³: 35æ
3. 4æéç®ã«éããã³ã€ã³: 50æ
- ãããããã®ãã¡15æãååã«æž¡ããã®ã§ãå®éã«åœŒå¥³ãæ®ãã³ã€ã³ã¯50 - 15 = 35æã§ãã
ããããŸãšãããšã
- æåã®1æé: 15æ
- 次ã®2æé: 35æ
- 4æéç®ã®åŸã«æ®ã£ãã³ã€ã³: 35æ
åèšã³ã€ã³æ°ã¯ã
15 + 35 + 35 = 85æ
ãããã£ãŠã4æéç®ã®åŸã«åœŒå¥³ãæã£ãŠããã³ã€ã³ã®ææ°ã¯85æã§ãã
ãããã£ãŠãåçã¯ã#### 85ããšãªããŸãã
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96 |
ãžã§ãªãŒã®äºäººã®åšã¯ããããå¥ã®ããŒã ã§ãœããããŒã«ãããŠããŸããããããã®ããŒã ã¯ä»ã·ãŒãºã³ 8 詊åãããŸããåããŒã ã¯è©Šåããšã« 4 æéç·Žç¿ããŸãã詊åã¯ãããã 2 æéç¶ããŸãããžã§ãªãŒã¯åšãã¡ã®è©Šåãšç·Žç¿ãèŠãããã«ãåèšã§äœæéãã£ãŒã«ãã«ããããšã«ãªããŸããïŒ
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åããŒã 㯠8 詊åãè¡ãã1 詊å㯠2 æéç¶ããŸãã
ãããã£ãŠãåããŒã ã®è©Šåã«ãããæéã¯ä»¥äžã®ããã«ãªããŸãïŒ
8 詊å à 2 æé/詊å = 16 æé
次ã«ãåããŒã ãç·Žç¿ããæéãèšç®ããŸãã
åããŒã 㯠8 詊åããšã« 4 æéç·Žç¿ããŸãã
ãããã£ãŠãåããŒã ã®ç·Žç¿ã«ãããæéã¯ä»¥äžã®ããã«ãªããŸãïŒ
8 詊å à 4 æé/詊å = 32 æé
åšãã¡ã®äž¡æ¹ã®ããŒã ã®åèšè©Šåæéãšç·Žç¿æéãèšç®ããŸãã
- åèšè©Šåæé (2人å) = 16 æé à 2 = 32 æé
- åèšç·Žç¿æé (2人å) = 32 æé à 2 = 64 æé
æåŸã«ãåèšã§ãã£ãŒã«ãã«ããæéãèšç®ããŸãã
åèšæé = åèšè©Šåæé + åèšç·Žç¿æé = 32 æé + 64 æé = 96 æé
ãããã£ãŠããžã§ãªãŒã¯ãã£ãŒã«ãã«åèšã§ 96 æéããŸãã
çã㯠96 ã§ãã
#### 96
|
200 |
ã¯ãã¯å¬ç ã®ããã« 1000 ãã³ãã®äœéãå¢ããå¿
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|
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èŠãããäœé㯠1000 ãã³ãã§ãã
**1. ããªãŒããã®äœéå¢å :**
ã¯ãã¯ããªãŒããå¿
èŠãªäœéã® 1/5 ãå¢ããã®ã§ã
ããªãŒããã®äœéå¢å = 1000 ãã³ã à (1/5) = 200 ãã³ãã
**2. ç§ã«ãã³ã°ãªããã®äœéå¢å :**
ã¯ãã¯ãã³ã°ãªããããªãŒããã®äœéå¢å ã® 2 åãå¢ããã®ã§ã
ãã³ã°ãªããã®äœéå¢å = 200 ãã³ã à 2 = 400 ãã³ãã
ãããŸã§ã®æ®µéã§ãã¯ãã¯åèšã§ä»¥äžã®äœéãå¢ãããŸããïŒ
- ããªãŒ: 200 ãã³ã
- ãã³ã°ãª: 400 ãã³ã
åèšééã®å¢å 㯠200 + 400 = 600 ãã³ãã§ãã
**3. å¿
èŠãªäœéã®æ®ã:**
å¿
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èŠã ã£ã 1000 ãã³ããããã® 600 ãã³ããåŒããŸãïŒ
1000 ãã³ã - 600 ãã³ã = 400 ãã³ãã
**4. ãµãŒã¢ã³ããã®äœéå¢å :**
ã¯ãã¯ãµãŒã¢ã³ããå¿
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ãµãŒã¢ã³ããã®äœéå¢å = 400 ãã³ã à (1/2) = 200 ãã³ãã
**5. å°ããªåç©ããã®äœéå¢å :**
ã¯ããé£ã¹ãå¿
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å°ããªåç©ããã®äœéå¢å = æ®ãã®äœé = 400 ãã³ã - 200 ãã³ã = 200 ãã³ãã
ãããã£ãŠãã¯ãã¯å°ããªåç©ãé£ã¹ãŠå¢ãããäœé㯠200 ãã³ãã§ãã
æçµçãªçãã¯: ####200
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24 ç¶ã®äžã«ã¯åèš 290 ãªããã«ã®æ²¹ãå
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¥ããŠããŸããïŒ
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10 ç¶ Ã 8 ãªããã«/ç¶ = 80 ãªããã«
次ã«ã24 ç¶å
šäœã®æ²¹ã®åèšã¯ 290 ãªããã«ãªã®ã§ãæ®ãã®ç¶ã«å
¥ã£ãŠããæ²¹ã®éãæ±ããŸãã
æ®ãã®ç¶ã®æ°ã¯:
24 ç¶ - 10 ç¶ = 14 ç¶
æ®ãã®ç¶ã«å
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290 ãªããã« - 80 ãªããã« = 210 ãªããã«
14 ç¶ã§ 210 ãªããã«ã®æ²¹ãå
¥ã£ãŠããã®ã§ã1 ç¶ãããã®æ²¹ã®éã¯:
210 ãªãã㫠÷ 14 ç¶ = 15 ãªããã«
ãããã£ãŠãæ®ãã®ç¶ã¯ãããã 15 ãªããã«ã®æ²¹ãå
¥ããŠããŸãã
æçµçãªåç㯠15 ã§ãã®ã§ã####15 ã§ãã
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æææ¥ã®ã¹ã¯ã¯ãã + ç«ææ¥ã®ã¹ã¯ã¯ãã = 12 + 19 = 31 æ¬
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èŠããããŸãã
åçïŒ####0
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ãµãã®ä»äºã®æçµŠã¯ã20%äœãã®ã§ä»¥äžã®èšç®ãè¡ããŸãã
20ãã« Ã 0.20 = 4ãã«ïŒ20%ã«çžåœããéé¡ïŒ
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- ããŒã¹ã: 1æ à £1 = £1
- åµ: 2å à £3 = £6
- ã¢ã³ããªã¥ãŒã®åèš: £1 + £6 = £7
2äººã®æé£ã®åèšéé¡ã¯æ¬¡ã®éãã§ãã
- åèš: £8 (ããŒã«) + £7 (ã¢ã³ããªã¥ãŒ) = £15
ãããã£ãŠãåèšéé¡ã¯ £15 ã§ãã
åç: ####15
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768 |
åºå㯠237 æ¬ã®ãžã£ã¬ã€ã¢ãçç£ãããã®ååã®æ°ã®ãã
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ããã® 2 åã®æ°ã®ããŒãã³ãçç£ããŸãããåºåã¯åèšã§ããã€ã®éèãçç£ããŸãããïŒ
|
åºåã§çç£ãããéèã®æ¬æ°ãèšç®ããŸãããã
1. ãžã£ã¬ã€ã¢ã®æ¬æ°ã¯ 237 æ¬ã§ãã
2. ãã
ããã¯ãžã£ã¬ã€ã¢ã®ååã®æ°ã§ãã®ã§ããã
ããã®æ¬æ°ã¯ 237 ÷ 2 = 118.5 æ¬ã§ãããéèã®æ¬æ°ã¯æŽæ°ã§ãã®ã§ãéåžžã¯åãæšãŠãŠ 118 æ¬ãšèããŸãã
3. ããŒãã³ã¯ãã
ããã® 2 åã®æ°ã§ãã®ã§ãããŒãã³ã®æ¬æ°ã¯ 118 à 2 = 236 æ¬ã§ãã
åèšãããšã
- ãžã£ã¬ã€ã¢: 237 æ¬
- ãã
ãã: 118 æ¬
- ããŒãã³: 236 æ¬
åèšããŠã
237 + 118 + 236 = 591 æ¬
ãããã£ãŠãåºåã¯åèšã§ 591 æ¬ã®éèãçç£ããŸãããåç㯠####591 ã§ãã
|
85 |
ãã¯ãµãŒã¯è©Šåã® 4 ã¶æåã« 97 kg ã§ã詊åãŸã§ã®éã« 1 ã¶æã« 3 kg ãã€äœéãæžãããã€ãšãããããŠããŸãã詊ååœæ¥ã圌ã¯äœããã°ã©ã ã«ãªããŸããïŒ
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ãã¯ãµãŒã¯è©Šåã®4ã¶æåã«97 kgã§ãã
1ã¶æã«3 kgãã€äœéãæžããã®ã§ã4ã¶æéã§æžããäœéã¯æ¬¡ã®ããã«èšç®ã§ããŸãã
æžããäœé = 3 kg/æ à 4ã¶æ = 12 kg
ãããã£ãŠã詊ååœæ¥ã®äœéã¯æ¬¡ã®ããã«èšç®ãããŸãã
詊ååœæ¥ã®äœé = 97 kg - 12 kg = 85 kg
ãã¯ãµãŒã®è©Šååœæ¥ã®äœéã¯85 kgã§ãããããã####ãã®åŸã«èšããŸãã
#### 85
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4 |
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çãšå
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çå
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3ã€ã®ããŒã¹ããŒã³ãŒã¯ãã€ããããåã³ãŒã¯ãã€ã¯10æã«åãããŠããŸãã
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3ïŒã³ãŒã¯ãã€ã®æ°ïŒ à 10ïŒåã³ãŒã¯ãã€ã®ã¹ã©ã€ã¹ã®æ°ïŒ = 30ã¹ã©ã€ã¹
次ã«ããããŒãã¯ã©ã¹ã¡ãŒããããŒã¹å
çã®åèšäººæ°ãæ±ããŸãã
ãããŒã¯1人ãã¯ã©ã¹ã¡ãŒãã¯24人ãæåž«ã®ããŒã¹å
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1ïŒãããŒïŒ + 24ïŒã¯ã©ã¹ã¡ãŒãïŒ + 1ïŒããŒã¹å
çïŒ = 26人
次ã«ãå
šå¡ã1æãã€é£ã¹ãã®ã§ã26æã®ã¹ã©ã€ã¹ãæ¶è²»ãããŸãã
æåŸã«ãæ®ãã®ã¹ã©ã€ã¹ãæ±ããŸãã
30ïŒç·ã¹ã©ã€ã¹ïŒ - 26ïŒæ¶è²»ãããã¹ã©ã€ã¹ïŒ = 4ã¹ã©ã€ã¹
ãããã£ãŠãæ®ãã®ã¹ã©ã€ã¹ã¯4æã§ãã
åçã¯ã####4ãã§ãã
|
70 |
ãžã§ãŒã ãºã¯ 40 幎éæããŠããŸãã圌ã®ããŒãããŒã¯ 10 幎å°ãªãæããŠããŸãã圌ãã®çµéšå¹Žæ°ã®åèšã¯ããã€ã§ããïŒ
|
ãžã§ãŒã ãºã¯ 40 幎éæããŠããŸãããã®ããã圌ã®ããŒãããŒã¯ 40 - 10 = 30 幎éæããŠããŸãã
圌ãã®çµéšå¹Žæ°ã®åèšã¯æ¬¡ã®ããã«ãªããŸãïŒ
40 幎 (ãžã§ãŒã ãº) + 30 幎 (ããŒãããŒ) = 70 幎
ãããã£ãŠã圌ãã®çµéšå¹Žæ°ã®åèšã¯ 70 幎ã§ãã
åçïŒ####70
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100 |
ãžã§ããã¡ãŒã¯åºã§ 40 åã®çä¹³ã®çŒ¶ã賌å
¥ãããã®åŸã¯ã©ã¹ã¡ãŒãã®ããŒã¯ã«äŒããŸãããããŒã¯ãçä¹³ã賌å
¥ããŠããŸããããžã§ããã¡ãŒã¯ããŒã¯ã賌å
¥ãã 5 åã®çŒ¶ã«å¯Ÿã㊠6 åã®è¿œå ã®çŒ¶ã賌å
¥ããŸãããããŒã¯ã 50 åã®çŒ¶ã賌å
¥ããå Žåããžã§ããã¡ãŒã¯åºããäœåã®çä¹³ã®çŒ¶ãæã¡åž°ããŸãããïŒ
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ãžã§ããã¡ãŒã¯æåã« 40 åã®çä¹³ã®çŒ¶ã賌å
¥ããŸãããæ¬¡ã«ãããŒã¯ã賌å
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¥ããŸãããããŒã¯ã¯ 5 åã®çŒ¶ã«å¯Ÿã㊠6 åã®çŒ¶ã远å ã§è³Œå
¥ããŠããããããžã§ããã¡ãŒã賌å
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ããŒã¯ã賌å
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ããŒã¯ã®çŒ¶æ°ã® 5 åã«å¯Ÿãã远å ã®çŒ¶æ°ã¯ããžã§ããã¡ãŒã远å ã§è³Œå
¥ãã 6 åã§ãã
ãããã£ãŠããžã§ããã¡ãŒã®è³Œå
¥çŒ¶æ°ãèšç®ãããšã
ãžã§ããã¡ãŒã®è¿œå ããŠãã猶ã¯ïŒ
\( (50 / 5) \times 6 = 10 \times 6 = 60 \)
ãªã®ã§ããžã§ããã¡ãŒãæã¡åž°ã£ã猶æ°ã¯ïŒ
\( 40 + 60 = 100 \)
åŸã£ãŠããžã§ããã¡ãŒã¯åºããæã¡åž°ã£ãçä¹³ã®çŒ¶ã®æ°ã¯ 100 åã§ãã
çã㯠100 ãªã®ã§ãæçµçãªåçã¯ïŒ
#### 100
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14 |
ãµã ãšãžã§ãã¯æŒäŒã¿ã«è·³ã³çžå€§äŒãè¡ããŸããã倧äŒã¯4ã©ãŠã³ãã«åãããŠããŸãããæåã®ã©ãŠã³ãã§ã¯ããµã ã¯ãžã§ããã1åå€ãè·³ã³ãŸããã2ã©ãŠã³ãç®ã§ã¯ããžã§ãã¯ãµã ãã3åå°ãªãè·³ã³ãŸããã3ã©ãŠã³ãç®ã§ã¯ããžã§ãã¯ãµã ãã4åå€ãè·³ã³ãŸãããæåŸã®ã©ãŠã³ãã§ã¯ããžã§ãã¯ç²ããŠããŸãããµã ã®ååã®åæ°ããè·³ã³ãŸããã§ããããµã ã¯åã©ãŠã³ãã§16åè·³ã³ãŸããããžã§ãã¯1ã©ãŠã³ããããäœåã®è·³ã³çžãå¹³åããŠè·³ã³ãŸãããïŒ
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åã©ãŠã³ãã§ãµã ãè·³ãã åæ°ã¯16åã§ãã®ã§ãã©ãŠã³ãããšã®ãµã ãšãžã§ãã®è·³ã³åæ°ã以äžã®ããã«èšå®ããŸãã
1. ã©ãŠã³ã1:
- ãµã : 16å
- ãžã§ã: 16 - 1 = 15å
2. ã©ãŠã³ã2:
- ãµã : 16å
- ãžã§ã: 16 - 3 = 13å
3. ã©ãŠã³ã3:
- ãµã : 16å
- ãžã§ã: 16 + 4 = 20å
4. ã©ãŠã³ã4:
- ãµã : 16å
- ãžã§ã: 16 / 2 = 8å
次ã«ãåã©ãŠã³ãã§ã®ãžã§ãã®è·³ã³åæ°ãåèšããŸãã
15å (ã©ãŠã³ã1) + 13å (ã©ãŠã³ã2) + 20å (ã©ãŠã³ã3) + 8å (ã©ãŠã³ã4) = 56å
ãžã§ãã®è·³ã³åæ°ã®å¹³åãèšç®ããŸãã
56å ÷ 4ã©ãŠã³ã = 14å
ãããã£ãŠããžã§ãã¯1ã©ãŠã³ããããå¹³åããŠ14åã®è·³ã³çžãè·³ã³ãŸããã
æçµçãªåçã¯14ãªã®ã§ãçãã¯ã####14ãã§ãã
|
700 |
ã€ã¬ãŒãã¯é±ã« 40 æéåããš 500 ãã«ã皌ããæ®æ¥æéã«ã€ããŠã¯ 1 æéããã 20 ãã«ã®è¿œå åå
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ã€ã¬ãŒãã¯é±ã« 40 æéåã㊠500 ãã«ã皌ããŸããæ®æ¥æéãèšç®ããããã«ãå
é±ã®ç·åããæéããéåžžã®åããæéãåŒããŸãã
å
é±ã®ç·åããæé: 50 æé
éåžžã®åããæé: 40 æé
æ®æ¥æé = 50 - 40 = 10 æé
æ®æ¥ã®åå
¥ã¯ 1 æéããã 20 ãã«ã§ãã®ã§ãæ®æ¥ããã®åå
¥ã¯æ¬¡ã®ããã«èšç®ã§ããŸãã
æ®æ¥ã®åå
¥ = 10 æé Ã 20 ãã«/æé = 200 ãã«
ã€ã¬ãŒãã®ç·åå
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¥ã𿮿¥ã®åå
¥ãå ãããã®ã§ãã
ç·åå
¥ = éåžžã®åå
¥ + æ®æ¥ã®åå
¥ = 500 ãã« + 200 ãã« = 700 ãã«
ãããã£ãŠãã€ã¬ãŒãã®ç·åå
¥ã¯ 700 ãã«ã§ãã
æçµåç: ####700
|
54 |
ãã€ãã£ã³ã¯èµ€ãåžœåã 20 åãéãåžœåã 24 åãããŸãã圌女ã®å人ãŸã©ã¯ããã€ãã£ã³ã®èµ€ãåžœåã® 4/5 ã ãæã£ãŠãããéãåžœå㯠2 åæã£ãŠããŸãã圌ãããã¹ãŠã®åžœåãåãããŠçããåããå Žåãããããäœåã®åžœåãããããèšç®ããŠãã ããã
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ãŸãããã€ãã£ã³ã®åžœåã®æ°ã確èªããŸãã
- èµ€ãåžœåïŒ20å
- éãåžœåïŒ24å
次ã«ããŸã©ã®æã£ãŠããåžœåã®æ°ãèšç®ããŸãã
1. ãŸã©ã®èµ€ãåžœåã®æ°ã¯ããã€ãã£ã³ã®èµ€ãåžœåã®4/5ã§ãã
\[
\text{ãŸã©ã®èµ€ãåžœå} = \frac{4}{5} \times 20 = 16 \text{å}
\]
2. ãŸã©ã®éãåžœåã®æ°ã¯ããã€ãã£ã³ã®éãåžœåã®2åã§ãã
\[
\text{ãŸã©ã®éãåžœå} = 2 \times 24 = 48 \text{å}
\]
次ã«ããã€ãã£ã³ãšãŸã©ãæã£ãŠããåžœåã®åèšãèšç®ããŸãã
- ãã€ãã£ã³ã®æã£ãŠããåžœåã®åèšïŒ
\[
20 + 24 = 44 \text{å}
\]
- ãŸã©ã®æã£ãŠããåžœåã®åèšïŒ
\[
16 + 48 = 64 \text{å}
\]
3. äž¡è
ã®æã£ãŠããåžœåã®åèšïŒ
\[
44 + 64 = 108 \text{å}
\]
次ã«ã2人ã§åžœåãçããåããããã«ã108åã2ã§å²ããŸãã
\[
\frac{108}{2} = 54 \text{å}
\]
ãããã£ãŠããã€ãã£ã³ãšãŸã©ã¯ãããã54åã®åžœåãããããŸãã
æçµçãªçãã¯54ã§ãã
#### 54
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90 |
ãã³ã¹ã¯ããã«ã®éšå±ãäºçŽããŸããããã®ããã«ã«ã¯ 10 é建ãŠã§ãåéã« 10 çªå·ã®åãéšå±ããããŸããäºæ
ã®ãããæäžéã¯ã²ã¹ãã«ã¯å©çšã§ããŸãããä»ã«ã²ã¹ããããªãå Žåããã³ã¹ã¯äœéãã®éšå±ã«ãã§ãã¯ã€ã³ã§ããŸããïŒ
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å©çšã§ããéæ°: 9é
åéã®éšå±æ°: 10éšå±
ç·éšå±æ° = å©çšã§ããéæ° à åéã®éšå±æ°
= 9 Ã 10
= 90éšå±
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æçµçãªçãã¯ã####90 ã§ãã
|
5 |
4人ã®ã¯ã©ã¹ã¡ãŒããèªçæã«åºã¥ããŠå¹Žéœ¢ãæ¯èŒããŸããã圌ãã¯ãžã§ãªã³ããã¬ãŒãºãã2ã¶æå¹Žäžã§ããããšããã¬ãŒãºãã¢ã€ãŽã©ãã5ã¶æå¹Žäžã§ããããšãçºèŠããŸããããããŠãã¬ãªã³ã¯ã¢ã€ãŽã©ãã2ã¶æå¹Žäžã§ãããžã§ãªã³ã¯ã¬ãªã³ããäœã¶æå¹Žäžã§ããïŒ
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å ±ãæŽçããŸãããã
1. ãžã§ãªã³(J) ã¯ãã¬ãŒãº(T)ãã2ã¶æå¹Žäžã§ãã
- J = T + 2
2. ãã¬ãŒãº(T)ã¯ã¢ã€ãŽã©(I)ãã5ã¶æå¹Žäžã§ãã
- T = I + 5
- ãã£ãŠãJ = (I + 5) + 2 = I + 7 ã§ãã
3. ã¬ãªã³(L)ã¯ã¢ã€ãŽã©(I)ãã2ã¶æå¹Žäžã§ãã
- L = I + 2
次ã«ããžã§ãªã³ (J) ãšã¬ãªã³ (L) ã®æ¯èŒãããŸãã
- J = I + 7
- L = I + 2
ãžã§ãªã³ãã¬ãªã³ããäœã¶æå¹Žäžããèšç®ããŸãïŒ
J - L = (I + 7) - (I + 2) = 7 - 2 = 5
ãããã£ãŠããžã§ãªã³ã¯ã¬ãªã³ãã5ã¶æå¹Žäžã§ãã
æçµçã«çãã¯ããžã§ãªã³ã¯ã¬ãªã³ãã5ã¶æå¹Žäžã§ãããšããããšãããããŸããã
ãããã£ãŠããžã§ãªã³ã¯ã¬ãªã³ããäœã¶æå¹Žäžãã®çãã¯ã5ãã§ãã
åçïŒ####5
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ããŒã¿ãŒã¯ã¹ãŒããŒã«ãœãŒããè²·ãã«è¡ããŸããããœãŒã㯠1 ãªã³ã¹ããã 25 ã»ã³ãã§ãã圌㯠2 ãã«ãæã£ãŠè¡ãã50 ã»ã³ããæã£ãŠåž°ããŸããã圌ã¯äœãªã³ã¹ã®ãœãŒããè²·ããŸãããïŒ
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2ãã« - 50ã»ã³ã = 2ãã« - 0.50ãã« = 1.50ãã«
次ã«ã1.50ãã«ãã»ã³ãã«å€æããŸãã
1.50ãã« = 150ã»ã³ã
ãœãŒã1ãªã³ã¹ã®äŸ¡æ Œã¯25ã»ã³ããªã®ã§ã賌å
¥ãããªã³ã¹æ°ã¯ä»¥äžã®ããã«èšç®ããŸãã
150ã»ã³ã ÷ 25ã»ã³ã/ãªã³ã¹ = 6ãªã³ã¹
ãããã£ãŠãããŒã¿ãŒã¯6ãªã³ã¹ã®ãœãŒããè²·ããŸããã
åçã¯ã#### 6
|
600 |
ãžã§ã³ã®ç㯠400 ãã³ãã®äœéã§ããããã®äœé㯠1.5 åã«å¢å ããŸããã圌ã¯çã 1 ãã³ãããã $3 ã§å£²ãããšãã§ããŸããäœéãå¢å ããåŸãçã¯ãããé«ããªããŸãããïŒ
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æ°ããäœé = 400 ãã³ã à 1.5 = 600 ãã³ã
次ã«ãçã®è²©å£²äŸ¡æ Œãæ±ããŸããçã 1 ãã³ãããã $3 ã§å£²ãã®ã§ãæ°ããäœéã«åºã¥ã䟡å€ã¯ïŒ
æ°ããäŸ¡å€ = 600 ãã³ã à $3 = $1800
åæã®äœéã®å Žåã®äŸ¡å€ã¯ïŒ
åæã®äŸ¡å€ = 400 ãã³ã à $3 = $1200
çã®äŸ¡æ Œã®å¢å åã¯æ¬¡ã®ããã«èšç®ã§ããŸãïŒ
äŸ¡æ Œã®å¢å = æ°ããäŸ¡å€ - åæã®äŸ¡å€
äŸ¡æ Œã®å¢å = $1800 - $1200 = $600
ãããã£ãŠãçã¯ãããé«ããªã£ãããšãããšã$600ã§ãã
åç: ####600
|
258 |
ãã©ã³ãã³ã¯å»å¹Žã86 å¹ã®ã²ãã³ãŒã販売ããŸãããå幎ã«ã¯ãã®2åã®æ°ã販売ããŸãããéå»2幎éã§ãã©ã³ãã³ã¯åèšã§äœå¹ã®ã²ãã³ãŒã販売ããŸãããïŒ
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2åãèšç®ãããšïŒ
86 Ã 2 = 172å¹
ãããã£ãŠãéå»2幎éã§ã®åèšã¯ïŒ
86 + 172 = 258å¹
ãã£ãŠããã©ã³ãã³ãéå»2幎éã§è²©å£²ããã²ãã³ãŒã®åèšã¯258å¹ã§ãã
çã㯠####258ã§ãã
|
216 |
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\[
5 \text{ ãã«} = 500 \text{ ã»ã³ã},
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\[
100 \text{ æ} \times 0.2 = 20 \text{ æ}
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\[
100 \text{ æ} \times 0.8 = 80 \text{ æ} \quad \text{(æ®éã® 5 ã»ã³ã硬貚)}
\]
\[
80 \text{ æ} \times 0.05 \text{ ãã«/æ} = 4 \text{ ãã«}
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#### 126
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- æŽå²æžïŒ12å
- ããã³ã¹å°èª¬ïŒ8å
- è©©éïŒ4å
åèšïŒ12 + 8 + 4 = 24å
2. äžéšããæ»ããæ¬ã®æ°ïŒ
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åèšïŒ5 + 6 = 11å
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- æ®ãã®ã¬ã ããŒã«ã®æ°: \( x - 4 \)
2. ãããã«æž¡ããæ°ã® 2 åãã¢ãªã·ã£ã«æž¡ããŸããã®ã§ãã¢ãªã·ã£ã«ã¯ \( 2 \times 4 = 8 \) åæž¡ããŸããã
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3. ã¢ãªã·ã£ã«æž¡ããæ°ã® 4 åãã 5 ãåŒããæ°ããããŒã«æž¡ããŸãããã¢ãªã·ã£ã«æž¡ããã®ã¯ 8 åãªã®ã§ããããŒã«ã¯ \( 4 \times 8 - 5 = 32 - 5 = 27 \) åæž¡ããŸããã
- æ®ãã®ã¬ã ããŒã«ã®æ°: \( x - 12 - 27 = x - 39 \)
4. æåŸã«ããã¯ã¿ãŒã¯ 6 åã®ã¬ã ããŒã«ãæ®ããŠããã®ã§ãæ¬¡ã®æ¹çšåŒãæãç«ã¡ãŸãã
\[
x - 39 = 6
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\[
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3. ææ¿å
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2. ãžã¥ãšãªãŒã®ã»ã¯ã·ã§ã³ã®å£²äž:
\[
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ããããè¶³ãåããããšã
10ml + 5ml = 15ml
ãããã£ãŠããšãªãŒãèªè»¢è»ãä¿®çããããã«å¿
èŠãªãªã€ã«ã®åèšã¯15mlã§ãã
åçã¯ã####15ãã§ãã
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258 |
ãžã£ãã¹ã¯1åéã«6æãã¿ã€ãã§ããŸãã仿¥ãä»äºäžã«æšæ¥å§ããè«æãç¶ããŸããã圌女ã¯20åéã¿ã€ãããäŒæ©ãåããããã«15åéã¿ã€ãããŸããããã®åŸã誀ã£ãŠã¿ã€ããã40æãæ¶ããŸãããäŒè°ã®åŸãããã«18åéã¿ã€ãããŸãããæçµçã«ããã®æ¥ã®çµããã«è«æã¯åèš536æã«ãªããŸããã圌女ã¯ä»æ¥äœæããå§ããŸãããïŒ
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ãžã£ãã¹ãã¿ã€ãããæéãåããšã«èšç®ããŸãã
æåã«ã圌女ã¯20åéã¿ã€ãããŸããã
20å * 6æ/å = 120æ
次ã«ã圌女ã¯15åéã¿ã€ãããŸããã
15å * 6æ/å = 90æ
ãã®åŸã誀ã£ãŠã¿ã€ããã40æãæ¶ããŸããã
åèšã®ææ°ã¯120æ + 90æ - 40æ = 170æ
æåŸã«ã圌女ã¯18åéã¿ã€ãããŸããã
18å * 6æ/å = 108æ
ãããåèšããŸãã
170æ + 108æ = 278æ
ãããŠã圌女ã¯è«æãæçµçã«536æã«ãªã£ããšèšã£ãŠããŸãã
ãããã£ãŠã圌女ã¯ä»æ¥å§ããæã®æ°ãæ±ããããã«ã536æ - 278æãèšç®ããŸãã
536æ - 278æ = 258æ
ãããã£ãŠããžã£ãã¹ã¯ä»æ¥258æããå§ããŸããã
çã㯠####258 ã§ãã
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96 |
1 æ¥ã«ã¯ãæ¹ãéãè¹ã®æ
ã 4 䟿ããã1 䟿ã§è¹ã¯æå€§ 12 人ãä¹ããããšãã§ããŸããè¹ã¯ 2 æ¥éã§äœäººã®äººã茞éã§ããŸããïŒ
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1æ¥ã«4䟿ãããããããã®äŸ¿ã§æå€§12人ãä¹ããããšãã§ããŸãã
1æ¥ã®èŒžé人æ°ã¯:
4䟿 à 12人/䟿 = 48人
2æ¥éã®èŒžé人æ°ã¯:
48人/æ¥ Ã 2æ¥ = 96人
ãããã£ãŠãè¹ã¯2æ¥éã§96人ã茞éã§ããŸããçãã¯ã#### 96ãã§ãã
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320 |
ããã£ã³ãã³ã¯ã¯ã·ã³ãã³ãã 40 矜ã®ã€ã®ãå€ãæã£ãŠããŸããã¯ã·ã³ãã³ã 140 矜ã®ã€ã®ãæã£ãŠããå Žåã圌ãã¯åèšã§äœçŸœã®ã€ã®ãæã£ãŠããŸããïŒ
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ã¯ã·ã³ãã³ãæã£ãŠããã€ã®ã®æ°ã¯140矜ã§ããããã£ã³ãã³ã¯ã¯ã·ã³ãã³ãã40矜å€ãã®ã§ãããã£ã³ãã³ãæã£ãŠããã€ã®ã®æ°ã¯æ¬¡ã®ããã«èšç®ã§ããŸãã
ããã£ã³ãã³ã®ã€ã®ã®æ° = ã¯ã·ã³ãã³ã®ã€ã®ã®æ° + 40
ããã£ã³ãã³ã®ã€ã®ã®æ° = 140 + 40 = 180
次ã«ã圌ããåèšã§æã£ãŠããã€ã®ã®æ°ãæ±ããŸãã
åèš = ã¯ã·ã³ãã³ã®ã€ã® + ããã£ã³ãã³ã®ã€ã®
åèš = 140 + 180 = 320
ãããã£ãŠã圌ãã¯åèšã§320矜ã®ã€ã®ãæã£ãŠããŸãã
320####
|
50 |
ãžã§ã³ã¯éæ³ã®ã«ãŒãã®ããã¯ã 10 å賌å
¥ããŸãããåããã¯ã«ã¯ 20 æã®ã«ãŒããããããã®ãã¡ 1/4 ãã¬ã¢ã«ãŒãã§ãããžã§ã³ã¯åèšã§äœæã®ã¬ã¢ã«ãŒããæã«å
¥ããŸãããïŒ
|
ãžã§ã³ã¯10åã®ããã¯ã賌å
¥ããåããã¯ã«ã¯20æã®ã«ãŒãããããŸãã
ãŸããå
šãŠã®ããã¯ã®ã«ãŒãã®ç·æ°ãèšç®ããŸãã
10ãã㯠à 20æ/ãã㯠= 200æã®ã«ãŒã
ãã®ãã¡1/4ãã¬ã¢ã«ãŒãã§ãã®ã§ãã¬ã¢ã«ãŒãã®ææ°ãèšç®ããŸãã
200æ à (1/4) = 50æã®ã¬ã¢ã«ãŒã
ãããã£ãŠããžã§ã³ã¯åèšã§50æã®ã¬ã¢ã«ãŒããæã«å
¥ããŸããã
åçã¯ã####ãã®åŸã«èšèŒããŸãã
#### 50
|
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