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17 November, 22:44

At a festival, 2/7 of the number of girls was equal to 3/5 of the number of boys. There were 165 fewer boys then girls, how many children were at the festival in all?

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  1. 17 November, 23:10
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    We know this: 2/7 G = 3/5 B

    We know this: B = (G - 165)

    Plug the second equation into the first to solve for G: 2/7 G = 3/5 (G - 165)

    Solve from there.

    G = 315

    Plug that into the second equation: B = (G - 165)

    B = 315 - 165

    B = 150

    G + B = 465
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