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 = 1.99x + 5
D. 50 = 1.99x - 5.

1 answer

To determine how many games Maggie can purchase, we need to set up an equation based on the information given.

Maggie's budget is $50, and she will buy games each costing $1.99. Additionally, she will apply a $5 discount to her total purchase amount.

Let \( x \) represent the number of games Maggie purchases. The total cost of the games before using the coupon is \( 1.99x \).

After applying the coupon, the total cost becomes:

\[ 1.99x - 5 \]

Since she has a budget of $50, we want this total cost to be less than or equal to $50:

\[ 1.99x - 5 \leq 50 \]

However, the question asks for the equation that can be used to find \( x \), so we set it equal to 50:

\[ 1.99x - 5 = 50 \]

Now, rearranging that equation aligns with option D:

\[ 50 = 1.99x - 5 \]

Thus, the correct answer is:

D. 50 = 1.99x - 5.