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David and Marie had $300 altogether. After David spent 2/5 of his money and Marie spent $20, they each had the same amount of money. How much money did Marie have at first?

  • math -

    david --- x
    Marie --- 300-x

    David spent 2/5 of his money, so his has (3/5)x left
    marie spent $20, so she has 300-x - 20 left

    (3/5)x = 300-x-20
    times 5
    3x = 1400 - 5x
    8x = 1400
    x = 175, so
    David had $175 and
    Marie had 300-175 or $125

    check:
    David has 175 , he spends 2/5 of that or 70 , so he has 105 dollars left
    Marie has 300-175 or 125 dollars, she spends 20, leaving her also with 105

    Yeahhh!

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