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 $19.13.
n minus 34.63 equals 15.50 ; 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 $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 correct equation that represents the original cost of groceries Nick bought, we need to account for the coupon he used and the total amount he paid.

Let \( n \) be the original cost of the groceries before the coupon. Nick had a coupon for $15.50 off, so the cost after applying the coupon would be:

\[ n - 15.50 \]

According to the problem, after applying the coupon, he paid $34.63. Therefore, we set up the equation:

\[ n - 15.50 = 34.63 \]

To find \( n \), we solve the equation:

1. Add \( 15.50 \) to both sides:

\[ n = 34.63 + 15.50 \]

2. Calculate the right side:

\[ n = 50.13 \]

So, the original cost of the groceries Nick bought was $50.13.

The correct equation is:

\[ n - 15.50 = 34.63; \text{ the original cost of the groceries Nick bought was } $50.13. \]