Posted by **Esther** on Monday, February 28, 2011 at 8:55pm.

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?

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**Dan**, Monday, February 28, 2011 at 9:02pm
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 -
**kyle**, Monday, February 28, 2011 at 10:34pm
that is all the information given

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**Helper**, Monday, February 28, 2011 at 11:01pm
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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