ACT Math · Ratios, rates, and percents

In a class, 40% of students are male. Of the male students, 25% play chess. What percent of the entire class is male and plays chess?

In a class, 40% of students are male. Of the male students, 25% play chess. What percent of the entire class is male and plays chess?

Answer and explanation

Answer: F: 10%

Of the whole class, 40%40\% are male, and 25%25\% of those males play chess. Multiply the percents as decimals: 0.40⋅0.25=0.100.40\cdot0.25=0.10, which is 10%10\% of the class, choice F. For example, in a class of 100100 students there are 4040 males, and 25%25\% of 4040 is 1010. Choice H (25%25\%) is the percent of males who play chess, not of the class. Choice G (15%15\%) is the difference of the percents. Choice J (65%65\%) adds the percents, which would be right only if the groups did not overlap.

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