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Harry spent one third of his money on a hat, 1/6 on socks, and $12.00 on a tie. How much money did Harry spend?

  • math -

    Not enough information. However, if the problem gave Harry's total amount of money, or a percentage based on the 12 dollars spent, it would be solvable. Think about how you would solve it if this information was given.

  • math -

    that is all the information given

  • math -

    Assuming he spent all his money,

    x = Money he started with
    1/3 x = spent on hat
    1/6 x = spent on socks
    12 = spent on a tie

    Total spent = 1/3 x + 1/6 x + 12
    Total spent = 2/6 x + 1/6 x + 12
    Total spent = 3/6 x + 12

    Money he started with - Total spent = 0
    x - (3/6 x + 12) = 0
    6/6 x - 3/6 x - 12 = 0
    3/6 x - 12 = 0
    3/6 x = 12
    Multiply both sides by 6
    3x = 72
    x = 24 money he started with

    1/3 x = 1/3 (24) = 8 hat
    1/6 x = 1/6 (24) = 4 socks
    Tie = 12
    8 + 4 + 12 = 24 spent

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