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In a class of 80 seniors, there are 3 boys for every 5 girls. In the junior class, there are 3 boys for every 2 girls. If the two classes combined have an equal number of boys and girls, how many students are in the junior class?

  • math - ,

    If there are
    3x senior boys and 5x senior girls
    3y junior boys and 2y junior girls

    3x+3y = 5x+2y
    3x+5x = 80
    so, x=10
    and y=20

    juniors have 60 boys and 40 girls.
    seniors have 30 boys and 50 girls

  • Math - ,

    x=10 YES
    b=30 YES
    g=50 YES

    y=10 NO
    b=30 NO
    g=20 NO
    Because 60 doesn't = 70
    y=20 YES
    b=60 YES
    g=40 YES
    Because 90 = 90
    S = 30 boys and 50 girls
    J = 60 boys and 50 girls

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