240 Boys and 100 Girls have been accepted into Buzz Cut Military College.?

240 Boys and 100 Girls have been accepted into Buzz Cut Military College. If the college wants to cap male acceptances to 60% of the total acceptances and is prepared to not accept any more boys, then how many additional girls should it admit?

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  • 1 month ago

    Total boys: 240

    Total girls: 100 + x

    Total students: 240 + 100 + x = x + 340

    Ratio of boys to total students:

    240 / (x + 340) = 60% = 0.6

    240 = 0.6(x + 340)

    240 = 0.6x + 204

    0.6x = 240 - 204

    0.6x = 36

    x = 36/0.6

    x = 60

  • 240 / (240 + 100 + G) = 0.6

    240 = 0.6 * (340 + G)

    240 / 0.6 = 340 + G

    400 = 340 + G

    60 = G

    Admit 60 more girls

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