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2 September, 04:22

The ratio of boys to girls in Class A is 3 to 4. The ratio of boys to girls in Class B is 4 to 5. If the two classes were combined, the ratio of boys to girls in the combined class would be 17 to 22. If Class A has one more boy and two more girls than class B, how many girls are in Class A?

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  1. 2 September, 06:37
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    Step-by-step explanation:

    Let B be number of boys present in Class A

    Let G be number of girls present in Class B

    B/G = 3/4 - --> 4B-3G=0 (1)

    For class B

    B-1 / G-2 = 4/5

    5 (B-1) = 4 (G-2)

    5B - 4G=-3 (2)

    Solving equation 1 and 2

    20B - 15G=0

    20B-16G=-12

    G=12

    Number of girls in class A is 12
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