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?
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.
that is all the information given
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
To find out how much money Harry spent, we need to add the amounts he spent on each item.
First, let's determine how much money Harry had before he started spending. Since he spent one-third (1/3) of his money on a hat and one-sixth (1/6) on socks, we know that hat + socks = 1/3 + 1/6 of his total money.
To add fractions with different denominators, we need to find a common denominator. The common denominator for 3 and 6 is 6.
So, hat + socks = 2/6 + 1/6 = 3/6 = 1/2.
This means that Harry spent half of his money on the hat and socks.
We also know that Harry spent $12.00 on a tie.
To find the total amount of money Harry spent, we need to add the amount spent on the hat and socks to the amount spent on the tie.
1/2 + $12.00 = $6.00 + $12.00 = $18.00.
Therefore, Harry spent $18.00.