A store sells 2 types of gift cards: $2 and $5. If a customer has $100 to spend, which equation represents this purchase?

1 answer

To represent the purchase of gift cards with the amounts of $2 and $5, let's define:

  • \( x \) as the number of $2 gift cards purchased.
  • \( y \) as the number of $5 gift cards purchased.

The total amount spent can be expressed as the sum of the costs of the gift cards, which must equal $100. Thus, the equation representing this purchase scenario is:

\[ 2x + 5y = 100 \]

This equation indicates that the total amount spent on the $2 and $5 gift cards must equal $100.