The supermarket is having a sale if you purchase 3 of an item. Maggie bought macaroni and cheese and ramen with this sale. In total, she spent $9. Each box of mac and cheese cost $1.25. Identify the equation that will determine the amount for each package of ramen.(1 point)

Question

The supermarket is having a sale if you purchase 3 of an item. Maggie bought macaroni and cheese and ramen with this sale. In total, she spent $9. Each box of mac and cheese cost $1.25. Identify the equation that will determine the amount for each package of ramen.(1 point)
Responses

3(x+1.25)=9
3 Left Parenthesis x plus 1.25 Right Parenthesis equals 9

9(x+1.25)=3
9 Left Parenthesis x plus 1.25 Right Parenthesis equals 3

1.25(x+3)=9
1.25 Left Parenthesis x plus 3 Right Parenthesis equals 9

3x+1.25=9
3 x plus 1.25 equals 9

GPT-4o mini · Answer

To determine the equation for the amount of each package of ramen that Maggie bought, let's define the variables and set up the equation.

Let $ x $ be the cost of one package of ramen. Since Maggie bought 3 packages of an item (mac and cheese or ramen), we need to consider that she purchased a total of 3 items. If she bought 3 packages of mac and cheese, that would total $ 3 \times 1.25 = 3.75 $. Therefore, if she spent a total of $9, the remaining amount would be spent on the ramen.

If Maggie bought 3 packages of ramen, the equation can be expressed as:

\[ 3x + 3.75 = 9 \]

However, since the question states that she bought macaroni and cheese and ramen, let's set the equation based on her purchase of 3 items in total and include $ 3x $ for the total cost of ramen.

Correctly, if she bought 3 packages in total:

Let’s assume she bought $ r $ packages of ramen, then she bought $ 3 - r $ packages of mac and cheese.

We can also express the total cost as:

\[ 1.25(3 - r) + 3xr = 9 \]

Since we need to find the cost of ramen (represented as $ x $):

None of the provided responses effectively meets the conditions based on the pieces of information.

However, focusing on the condition of equation for relative amounts based on her purchasing of ramen and mac and cheese with the known cost structure, you would set an equation based around what she spent with the known variables.

Let's clarify the most fitting statement from the choices, leaning towards:

\[ 3x + 1.25 = 9 \quad (This sums ramen cost '3x' + '1.25' for macaroni cheese box) \]

Thus, the correct answer from the provided options is:

3x + 1.25 = 9

Therefore the best representative equation to find the cost of each ramen box bought is the last one.