To find the maximum number of games \( x \) that Maggie can purchase with her gift card, we need to account for the total cost of the games after applying the coupon code.
The cost for \( x \) games at $1.99 each is \( 1.99x \). Since she has a $5 coupon, the total cost of her purchase can be expressed as \( 1.99x - 5 \).
We want this total cost to be equal to the amount on her gift card, which is $50. Therefore, the equation will be:
\[ 50 = 1.99x - 5 \]
Now, looking at the given choices:
- a 50 = 1.99 - 5x
- b 50 = 1.99 + 5x
- c 50 = 1.99 + 5
- d 50 = 1.99 - 5
None of the choices match \( 50 = 1.99x - 5 \) directly. However, it looks like option a) attempts to relate the cost with \( -5x \), which is incorrect, and the other options don't correctly represent the equation we're trying to establish.
So, to find the correct equation based on the information provided, it should be:
\[ 50 = 1.99x - 5 \]
Unfortunately, none of the available answers correctly represent this equation. However, if I were to summarize, the correct equation for finding \( x \) is:
\[ 50 + 5 = 1.99x \] which simplifies to: \[ 55 = 1.99x \]
This enables Maggie to find the maximum number of games she can buy.