Question

Set up and solve a proportion to solve the problem.



Ben saved
$
75
$75 over the summer from his part-time job. He withdrew
40
%
40% of the money to buy new clothes. The rest of the money he kept in his bank account. How much money did Ben spend on new clothes?



$

Answer 1

To find out how much money Ben spent on new clothes, we can set up a proportion based on the information given.

1. **Identify the total amount Ben saved:**
Ben saved $75.

2. **Calculate the amount he withdrew for new clothes:**
He withdrew 40% of his savings. To find 40% of $75, we can use the formula:
\[
\text{Amount spent on clothes} = \text{Total savings} \times \text{Percentage withdrawn}
\]
In this case, the percentage is 40%, or 0.40 in decimal form.

So, we calculate:
\[
\text{Amount spent on clothes} = 75 \times 0.40
\]

3. **Perform the multiplication:**
\[
75 \times 0.40 = 30
\]

Thus, Ben spent **$30** on new clothes.