math working backwards

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Sandra spent one-fifth of her money and loaned one-third of the remainder to her brother. She had $24 left. How much did she begin with?

  • math working backwards -

    m - 1/5 m = 4/5 m
    4/5 m * 1/3 = 4/15 m

    m - 1/5 m - 4/15 m = 24
    m = 45

  • math working backwards -

    When working backwards we first need to deal with 1/3. so since it says 1/3 of the remainder, does this mean to divide 24 by 1/3

  • math working backwards -

    if r is the remainder, then

    24 = 2/3 r
    r = 36

    r = 4/5 m, so
    m = 5/4 * 36 = 45

  • math working backwards -

    I understand thank you.

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