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)

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

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 $19.13.

1 answer

To find the original cost of the groceries \( n \), we need to understand the relationship between the original cost, the coupon discount, and the amount paid after applying the discount.

Nick received a coupon for $15.50 off the original cost \( n \). After applying the coupon, he paid $34.63. This leads us to the equation:

\[ n - 15.50 = 34.63 \]

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

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

Therefore, the correct equation representing the original cost of groceries Nick bought is:

\( n - 15.50 = 34.63 \); the original cost of the groceries Nick bought was $50.13.