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Math Help - find number of people

  1. #1
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    Exclamation find number of people

    Paul has twice as many brothers as sisters. His sister Mary has five times as many brothers as sisters. How many sons and daughters do their parents have?
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  2. #2
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    Hello, jumpman23!

    Paul has twice as many brothers as sisters.
    His sister Mary has five times as many brothers as sisters.
    How many sons and daughters do their parents have?

    Let B = number of boys.
    Let G = number of girls.

    Paul has B-1 brothers and G sisters.
    . . We are told that: .B - 1 .= .2G

    Mary has B brothers and G-1 sisters.
    . . We are told that: .B .= .5(G - 1)

    Solve the system of equations: .B = 5, S = 2

    Answer: .5 sons, 2 daughters

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