To find the original cost of the groceries (n), we need to set up the equation based on the information given.
Nick had a coupon for $15.50 off the original price of the groceries (n), and after applying the coupon, he paid $34.63. So, we can write the equation as:
\[ n - 15.50 = 34.63 \]
Now, we can solve for n:
- Add $15.50 to both sides of the equation:
\[ n = 34.63 + 15.50 \]
- Calculate the right side:
\[ n = 50.13 \]
Thus, the original cost of the groceries Nick bought was $50.13. So the correct equation is:
\[ n - 15.50 = 34.63 \] and the original cost of the groceries was $50.13.