Question

For one weekend each year before school begins, people can buy clothing without paying any sales tax. Nora is shopping for new outfits to wear to school. She also has a coupon that will take 5% off of each item she buys.

Part A: Write an equation for the amount of money (c) that Nora would spend, after the discount is applied, on a shirt that cost (d) dollars.

Part B: Nora can spend a total of $57 on clothes at this store. What is the total value of the clothes that Nora can buy at the store, in dollars, before the discount is taken?

Answer 1

Part A:

The equation for the amount of money Nora would spend after the discount is applied on a shirt that costs d dollars is:

c = d - 0.05d

c = 0.95d

Part B:

Let x be the total value of the clothes Nora can buy before the discount is taken.

After the discount is applied, she can spend a total of $57, so we have:

0.95x = 57

x = 60

Therefore, Nora can buy a total of $60 worth of clothes before the discount is taken.