Math

Mary bought a scarf for five dollar spent Half of the remaining money on jogging shoes bought lunch for two dollars and then spent half of her remaining dollars on a DVD she had $10 left how much money does she start with?

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  1. starting amount ---- x
    spent $5, amount left = x-5
    after spending half of that on jogging shoes,
    amount left = (1/)(x-5)
    after spending $2 for lunch, amount left
    = (1/2)(x-5) - 2
    spent half of that on a DVD, amount left
    = (1/2)[(1/2)(x-5) - 2] which equals 10

    (1/2)(x-5) - 2 = 20
    (1/2)(x-5) = 22
    x-5 = 44
    x = $49

    check:
    start with 49
    spent $5 on scarg, amount left = 44
    spent half, amount left = 22
    spent $2 on lunch, amount left = 20
    spent half of that on DVD, amount left = 10

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