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3 September, 08:26

There are 1800 students in a school, and 540 of them do not take part in sports activities. Of these students who do not take part, 5/9 are girls. There are 2/3 as many girls as boys in the school. How many boys take part in sports activities?

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  1. 3 September, 08:37
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    Total students = 1800

    Number of students who did not take part = 540

    Number of students who took part = 1800 - 540 = 1260

    Number of students who did not take part = 540

    Number of girls = 5/9 x 540 = 300

    Number of boys = 540 - 300 = 240

    2/3 as many girls as boys. ∴ ratio of girls to boys = 2:3

    1800 : 5 = 360

    Number of girls = 360 x 2 = 720

    Number of boys = 360 x 3 = 1080

    Number of boys who took part = 1080 - 240 = 840
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