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?

1 answer

To find the number of video games Trevor purchased, we start with the information provided:

  1. Trevor has a gift card with a balance of $150.
  2. Each video game costs $35.
  3. After purchasing the games, he has $45 left on the gift card.

First, we can determine how much money Trevor spent. Since he had $150 initially and has $45 left, the amount spent is:

\[ 150 - 45 = 105 \]

Next, to find the number of games he purchased, denote \( x \) as the number of games. The total cost for \( x \) games at $35 each is given by:

\[ 35x \]

Now, we can set up the equation based on the amount spent:

\[ 35x = 105 \]

This equation can be used to find \( x \), the number of games Trevor purchased.

Therefore, the final equation is:

\[ 35x = 105 \]