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March 24, 2017

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

  • Math - ,

    b = g-165
    2/7 g = 3/5 b

    (b,g) = (150,315)

  • Math - ,

    b = g - 165

    2 g/7 = 3 b/5

    2 g/7 = (3/5)(g-165)

    solve for g
    then for b
    then add b+g

  • Math - ,

    Um... I really didn't understand you very clearly. So can you like go through this so I can understand cause I'm not really fimillar with algerbra.

  • Math - ,

    There are g girls and b boys.
    2 g/7 = (3/5)(g-165)
    (See Damon's derivation)
    (10/21)g = g - 165
    11/21 g = 165
    g = 315
    b = 315 -165 = 150
    Total = b + g = 465

  • Math - ,

    Um... How exactly did you find the number of girls? Sorry I don't understand algebra that much.

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