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

Question

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 solve the problem, let's denote the money John earned as \( E = 45.90 \).

Let's break down the expenses step-by-step. However, we need the fractions (such as half or another portion) to calculate how much John spends on trading cards and the sketchbook, which you've not provided in the query.

Let's assume John uses \( x \) fraction of his earnings on trading cards and \( y \) fraction of what remains to buy a sketchbook.

1. Amount spent on trading cards: \[ \text{Amount spent on trading cards} = x \cdot 45.90 \] Remaining money after buying trading cards: \[ \text{Remaining} = 45.90 - (x \cdot 45.90) = 45.90(1 - x) \]

2. Amount spent on a sketchbook: \[ \text{Amount spent on sketchbook} = y \cdot \text{Remaining} = y \cdot (45.90(1 - x)) \] Remaining money after buying the sketchbook: \[ \text{Remaining} = 45.90(1 - x) - (y \cdot 45.90(1 - x)) = 45.90(1 - x)(1 - y) \]

3. Finally, John spends $4.50 on comic books. So, the final remaining amount is: \[ \text{Final remaining} = 45.90(1 - x)(1 - y) - 4.50 \]

Without the specific values for \( x \) and \( y \), we can't compute the exact remaining amount. If you could provide those details, I could determine the amount John has left!