CalcElfCalcElf › Share a 240-yuan prize in the ratio 5:1
Share a 240-yuan prize in the ratio 5:1
A teacher shares a 240-yuan prize between two students in the ratio 5:1, so one student gets 5 times as much money as the other. How much money does each student get?
Answer
Split in the ratio 5:1 → 200 and 40
Step-by-step
- 5 + 1 = 6Total parts = sum of all ratio terms
- 240 ÷ 6 = 40Value of one part
- 40 × 5 = 200Share for ratio term 1
- 40 × 1 = 40Share for ratio term 2
Why it works
A ratio of 5:1 splits the total into 5 + 1 = 6 equal parts; one part is the total divided by 6, and the two shares are 5 parts and 1 part.
Common mistakes
- Dividing 240 by 5 and forgetting the second share.
- Confusing '5 times as much' with '5 times more' and using the wrong number of parts.