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9 January, 03:56

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?

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  1. 9 January, 04:55
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    Step-by-step 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
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