John conducted a survey about car color. 60% of the people who took the survey were women. Of the men who were surveyed, 75% preferred red cars over green cars. If 10 men liked green cars more than red, how many people took the survey?
Correct answer: A
Explanation
Let N be the number of people who took the survey. The number of men M is given by M = N - 60%N.
The number of men G who liked green cars more than red cars is given by
G = M - 25%M
Given that G = 10, solve for N
40 = (N - 60%N) - 25%(N - 60%N)
N = 100
Correct answer is A.
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AQuA-RAT items are crowdsourced algebra problems, not ACT questions. They carry five answer choices in the pre-2025 ACT Mathematics style and no ACT reporting category. Useful for drilling Preparing for Higher Math content; not a substitute for a real form.