Problem-Solving and Data AnalysisHardTotal from a ratio and a difference
Problem-Solving and Data Analysis practice question
In a choir, the ratio of altos to sopranos is 3 to 5. There are 6 more sopranos than altos. How many singers are in the choir in total (altos and sopranos)?
Answer: 24
The difference of 2 parts equals 6 singers, so 1 part is 3. Altos: 9, sopranos: 15, total 24.
Common wrong answers
- If you answered 6
- 6 is the difference, not the total.
- If you answered 8
- 8 adds the ratio parts without scaling them.
- If you answered 48
- 48 doubles the correct total, using 6 per part instead of 3.
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