AlgebraVery hardTotal respondents from fractions and a remainder
Algebra practice question
In a survey, 3/8 of the respondents chose option A, 1/4 chose option B, and the remaining 60 respondents chose option C. How many people responded to the survey?
Answer: 160
A and B together are 3/8 + 2/8 = 5/8, so C is 3/8 of the total. Then (3/8)n = 60 gives n = 160.
Common wrong answers
- If you answered 96
- 96 uses C as 5/8 of the total.
- If you answered 100
- 100 uses C as 3/5.
- If you answered 240
- 240 uses C as 1/4 of the total.
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