Question

John earned $45.90 during the summer break. He used 1/6 of the money to buy trading cards. Then, he used 3/5 of the remaining amount to buy a sketchbook, and also spends $4.50 on comic books.

How much money does John have left after these purchases?
A.
$11.80
B.
$35.10
C.
$15.30
D.
$10.80

Answer 1

To calculate how much money John has left after his purchases, we can follow these steps:

1. **Calculate how much John spent on trading cards:**
\[
\text{Amount spent on trading cards} = \frac{1}{6} \times 45.90 = 7.65
\]

2. **Calculate the remaining amount after buying the trading cards:**
\[
\text{Remaining amount} = 45.90 - 7.65 = 38.25
\]

3. **Calculate how much John spent on the sketchbook:**
He spends \( \frac{3}{5} \) of the remaining amount:
\[
\text{Amount spent on sketchbook} = \frac{3}{5} \times 38.25 = 22.95
\]

4. **Calculate the remaining amount after buying the sketchbook:**
\[
\text{Remaining amount after sketchbook} = 38.25 - 22.95 = 15.30
\]

5. **Subtract the amount spent on comic books:**
\[
\text{Remaining amount after comic books} = 15.30 - 4.50 = 10.80
\]

Thus, the final amount of money John has left after all his purchases is:
\[
\boxed{10.80}
\]

The correct answer is D. \(10.80\).