Maggie has a $50 gift card that she will use to purchase games on her phone each game cost $1.99. She has a coupon code for $5 off her entire purchase.

Which equation can be used to find x, the maximum number of games Maggie can purchase?
A. 50 = 1.99 - 5x
B. 50 = 1.99 + 5x
C. 50 = 1.99 + 5
D. 50 = 1.99 - 5.

1 answer

To find the maximum number of games Maggie can purchase, we first need to consider both the cost of the games and the discount from the coupon.

Let \( x \) be the number of games Maggie wants to buy. Each game costs $1.99, so the total cost of \( x \) games is \( 1.99x \). Since Maggie has a coupon for $5 off her entire purchase, we can represent her total spending after applying the discount as:

\[ 1.99x - 5 \]

Maggie has a $50 gift card, so we set up the equation:

\[ 50 = 1.99x - 5 \]

Rearranging this gives us:

\[ 50 + 5 = 1.99x \] \[ 55 = 1.99x \]

Thus, the equation to find \( x \) that represents Maggie's budgeting for the games is not directly one of the options provided.

However, if we review the options given:

  • A. \( 50 = 1.99 - 5x \)
  • B. \( 50 = 1.99 + 5x \)
  • C. \( 50 = 1.99 + 5 \)
  • D. \( 50 = 1.99 - 5 \)

None of these options correctly represent the situation. The correct equation should be:

\[ 50 = 1.99x - 5 \]

This suggests a mistake in the provided options, as none correctly embodies the transaction scenario of purchasing the games using the gift card and the coupon.