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March 25, 2017

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Class A has the same number of students as Class B. The ratio of the number of girls in Class A to the number of girls in Class B is 3 : 2. The ratio of the number of boys in Class A to the number of boys in Class B is 3 : 5. What is the ratio of the number of girls to boys in Class B?

  • math - ,

    Make a simple chart

    ....class A......class B
    boys .. girls...boys .. girls

    3y ...... 3x.......5y .... 2x

    we know 3y+3x = 5y+2x
    x = 2y

    ration of girls to boys in class B
    = 2x : 5y
    = 2(2y) : 5y
    = 4 : 5

    There is no unique solution , just pick any value for y

    e.g. using y = 5, then x = 10 (from x = 2y)
    in the chart:
    15.. 30....... 25 .. 20 satisfies the condition
    y = 8, then x = 16
    24 .. 48 ..... 40 .. 32 satisfies the condition
    etc.

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