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Olivia bought some school supplies. In the first store she spent half the money she had plus $6. In the second store she spent one third of what was left plus $6.In the last store she spent ¼ of what was left and came home with $6.How much did she start out with?

  • money -

    $X Initially.
    1. X - (x/2+6) = x/2 - 6.

    2. (x/2-6)-1/3(x/2-6)-6 = 2/3(x/2-6)-6 =2x/6-4-6 = x/3-10.

    3. (x/3-10) - 1/4(x/3-10) = 3/4(x/3-10)= x/4-30/4 = (x-30)/4 = Bal. = $6.

    (x-30)/4 = 6.
    x-30 = 24.
    X = 24 + 30 = $54. = The amt. she started out with.

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