Nick bought groceries for n 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)

Question

Nick bought groceries for  n  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 + 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 − 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 $50.13.
n minus 15.50 equals 34.63 ; 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 $50.13.

GPT-4o mini · Answer

To find the original cost of the groceries (n), we start with the information given:

Nick bought groceries for $ n $ dollars.
He had a coupon for $15.50 off.
After using the coupon, he paid $34.63.

The equation representing this situation would be:

\[ n - 15.50 = 34.63 \]

This means that the original cost of the groceries (n) minus the coupon discount of $15.50 equals the amount he paid ($34.63).

Now, let's solve for n:

\[ n = 34.63 + 15.50 \] \[ n = 50.13 \]

So the correct equation is $ n - 15.50 = 34.63 $ and the original cost of the groceries Nick bought was $50.13.

Therefore, the correct response is:

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