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?

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?

Answer 1

Let's set up an equation to represent the original cost of groceries Nick bought. Let x be the original cost of the groceries.

We know that he had a coupon for $15.50 off. So the total cost of groceries with the coupon would be x - $15.50.

We also know that he paid $34.63 including tax for the groceries. So the equation is:

x - $15.50 = $34.63

To find the original cost of groceries, we can solve this equation for x.

Adding $15.50 to both sides of the equation, we get:

x = $34.63 + $15.50

x = $50.13

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