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One-fourth of the students at Finley High School play sports. Two-thirds of the students who play sports are girls. What fraction of all students are girls who play sports?

User Drops
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Answer:

Explanation:

Let x represent the total number of students at Finley High School.

One-fourth of the students at Finley High School play sports. The means that the total number of students at Finley High School that play sports is

1/4 × x = x/4

Two-thirds of the students who play sports are girls. This means that the number of girls that play sports would be

2/3 × x/4 = 2x/12 = x/6

Therefore, the fraction of all students who play sports and are girls would be

(x/6)/x = 1/6

User Peter Kraume
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