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.

Question

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. 
x=27 games
To prove your answer plug your answer into the equation you chose and solve.

GPT-4o mini · Answer

To find the maximum number of games Maggie can purchase, we need to set up an equation that accounts for her total budget, the cost of each game, and the discount she gets from the coupon.

Let's break it down:

The cost of each game is $1.99.
Maggie has a $50 gift card.
She has a coupon code for $5 off the total purchase.

The total amount spent on games will be $1.99x$ (where $x$ is the number of games). After applying the coupon, the total amount Maggie needs to pay is $1.99x - 5$. We want this total to be less than or equal to the total amount she has, which is $50.

So the equation can be set up as follows: \[ 1.99x - 5 = 50 \]

Now we can rearrange this equation to find $x$:

Add 5 to both sides: \[ 1.99x = 50 + 5 \] \[ 1.99x = 55 \]
Now, divide both sides by 1.99: \[ x = \frac{55}{1.99} \]

Now, calculating $x$: \[ x \approx 27.64 \]

Since Maggie can’t purchase a fraction of a game, she can purchase a maximum of 27 games since it has been stated that $x = 27$.

Now, let's confirm that by plugging $x = 27$ back into the modified equation to ensure it holds true: \[ 1.99(27) - 5 = ? \]

Calculating: \[ 1.99 \times 27 = 53.73 \] \[ 53.73 - 5 = 48.73 \]

Since $48.73$ is indeed less than or equal to $50, this checks out.

However, let's check against the choices provided for the correct equation. The correct equation that encapsulates the total purchase after the discount would be: \[ 50 = 1.99x - 5 \] Which is similar to the equation setup as $1.99x - 5 = 50$, but doesn’t match any of the provided options directly.

But, applying reasoning, none of the proposed choices directly represent the correct equation. However, \[ A. 50 = 1.99 - 5x \] would imply an incorrect relationship as well.

In conclusion, the accurate representation of this problem could be better represented. Ultimately, from the given options, the one closest to being reasonable based on initial interpretation would have involved expressing $x$ correctly but still holding no accuracy in potential answers listed.

So in conclusion the adaptable equation setup based on your values and structure should yield maximum purchase confirmed $ x = 27 $ for games successfully.