Math Ratios

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Julian, Majid and Pillay had the same number of rubber bands. During a game, Julian lost 12 rubber bands to Pillay and Majid lost 20 rubber bands to Pillay. The ratio of Julian's rubber bands to Majid's rubber bands became 4:3. How many rubber bands did each boy have at first?

  • Math Ratios -

    Before game:
    Julian --- x bands
    Majid --- x
    Pillay ----x

    after game:
    Julian ---- x-12
    Majid --- x-20
    Pillay --- x + 32

    (x-12) : (x-20) = 4 : 3
    4x - 80 = 3x - 36
    x = 44

    each had 44

    check:
    44-12 : 44-20
    = 32 ; 24
    = 4:3

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