Problem 15 · 2017 Math Kangaroo
Medium
Fractions, Decimals & Percents
percent-multiplier
More than 800 people take part in the kangaroo–run. Among the participants, 35% are female. There are 252 more male than female participants. How many people in total are taking part in the run?
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Answer: E — 840
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Hint 1 of 2
The male-minus-female gap is a fixed percent of the total.
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Hint 2 of 2
Set that percent equal to 252 and solve for the total.
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Approach: percent gap equals the headcount difference
- Female = 35%, male = 65%, so male − female = 30% of the total.
- 30% of total = 252, so total = 252 ÷ 0.30 = 840.
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