John earned $45.90 during the summer break. He used 1/2 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

1 answer

Let's break down John's spending step by step.

  1. Initial Earnings: John earned a total of $45.90.

  2. Buying Trading Cards: He spent \( \frac{1}{2} \) of his money on trading cards: \[ \text{Spent on trading cards} = \frac{1}{2} \times 45.90 = 22.95 \] After this purchase, the amount he has left is: \[ \text{Remaining amount} = 45.90 - 22.95 = 22.95 \]

  3. Buying a Sketchbook: Next, he used \( \frac{3}{5} \) of the remaining amount to buy a sketchbook: \[ \text{Spent on sketchbook} = \frac{3}{5} \times 22.95 = 13.77 \] After buying the sketchbook, the amount he has left is: \[ \text{Remaining amount after sketchbook} = 22.95 - 13.77 = 9.18 \]

  4. Buying Comic Books: Finally, he spent $4.50 on comic books: \[ \text{Remaining amount after comic books} = 9.18 - 4.50 = 4.68 \]

Thus, the amount of money John has left after all his purchases is $4.68.

None of the given options (A. $11.80, B. $35.10, C. $15.30, D. $10.80) matches this calculation. Please check the problem statement or the options.