Nick bought groceries for n

Question

dollars. He had a coupon for $15.50 off. He paid $34.63 including tax for the groceries he purchased. Which equation represents the original cost of groceries Nick bought? What was this amount?(1 point)
Responses

n + 34.63 = 15.50
; the original cost of the groceries Nick bought was $50.13.
n plus 34.63 equals 15.50 ; the original cost of the groceries Nick bought was $50.13.

n − 34.63 = 15.50
; the original cost of the groceries Nick bought was $19.13.
n minus 34.63 equals 15.50 ; the original cost of the groceries Nick bought was $19.13.

n + 15.50 = 34.63
; the original cost of the groceries Nick bought was $19.13.
n plus 15.50 equals 34.63 ; the original cost of the groceries Nick bought was $19.13.

n − 15.50 = 34.63
; the original cost of the groceries Nick bought was $50.13.

Answer 1

To find the original cost of the groceries Nick bought, we can set up the equation based on the information given:

Nick bought groceries for \( n \) dollars and had a coupon for $15.50 off, meaning he paid \( n - 15.50 \) dollars. We know that this amount equals $34.63 (the amount he actually paid).

Therefore, we can formulate the equation:

\[ n - 15.50 = 34.63 \]

Now, to find \( n \), we can rearrange the equation:

\[ n = 34.63 + 15.50 \]

Calculating that gives:

\[ n = 50.13 \]

So the equation that represents the original cost of the groceries Nick bought is:

\[ n - 15.50 = 34.63 \]

And the original cost of the groceries Nick bought was $50.13.

Thus, the correct response is:

n − 15.50 = 34.63; the original cost of the groceries Nick bought was $50.13.