Question

Trevor has a gift card with a $150 balance. He buys several video games that cost $35 each.

Which equation can be used to find x the number of games Trevor purchased if there was a balance of $45 left on his gift card.
Responses
A
150 plus 35 x is equal to 45
B
150 x minus 35 is equal to 45
C
open paren 150 minus 35 close paren times x is equal to 45
D

Answer 1

To find the correct equation, let's break down the information given:

1. Trevor starts with a gift card balance of $150.
2. He purchases video games that cost $35 each, and we need to determine the number of games he bought (let's denote this number as \( x \)).
3. After his purchases, he has $45 left on the gift card.

The total amount spent on the video games can be calculated by multiplying the number of games \( x \) by the cost of each game ($35). Therefore, the total amount spent is \( 35x \).

If he started with $150 and after spending money has $45 left, we can set up the following equation:

\[
150 - 35x = 45
\]

This equation represents that if he subtracts the total spent ($35 per game times the number of games \( x \)) from the initial balance of $150, he is left with $45.

This means:

- You start with $150,
- Subtract the amount spent on the games \( 35x \),
- And you end up with $45.

No options directly stated this equation, but if we rearranged the equation, we could arrive at the following:

1. Rearranging \( 150 - 35x = 45 \) gives \( 150 - 45 = 35x \), or \( 105 = 35x \).

This matches the structure of equations generally but isn't one of the provided options.

None of the equations listed as responses (A, B, C) appears to be correct based on the logic provided, as they do not accurately reflect the balance scenario accurately.

Therefore, based on the context provided, the correct representation of the situation mathematically would be:

**150 - 35x = 45 (not among the provided options)**.

So it seems the available options may contain errors.