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math

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in her coin collection, holly has 1/3 more coins than jim has in his collection. if the number of coins in 1/2 of holly's collection is 10 more than the number of coins in 1/3 of jim's collection, how many coins does each have?

  • math -

    number of coins for Jim --- x
    number of coins for Holly --- 4x/3

    (1/2)(4x/3) = (1/3)x + 10
    2x/3 = x/3 + 10
    times 3
    2x = x + 30
    x = 30

    Jim has 30 and Holly has 40

    check:
    does Holly have 1/3 more than Jim ? YES
    what is 1/2 of Hollys ? 20
    what is 1/3 of Jims ? 10
    is 1/2 of Holly's 10 more than 1/3 of Jim's ? YES

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