Challenge A customer at a clothing store is buying a pair of pants and a shirt. The store is having a 25%-off sale on all pants. The customer has a coupon for 15% off his entire purchase. The coupon cannot be combined with any other offers, so he can choose only one option. Let n represent the original price of the pants and s represent the price of the shirt. Write two equivalent expressions for each option. If the original cost of the pants is $25 and the shirt is $12, which option should the customer choose?
Which two expressions represent the "15% off his entire purchase" option?
■ A. 0.85（nーs）
0.15(n + S)
• c. 0.15 + 0.85s
■ D. 0.85（n+S）
•E. n+0.15s
• F. (n+s) - 0.15(n +S)
Which option should the customer choose?
The two expressions that represent the "15% off his entire purchase" option are:
C. 0.15 + 0.85s
F. (n+s) - 0.15(n + S)
To determine which option the customer should choose, we need to calculate the total price for each option.
Option 1: Apply the 25% off discount for the pants, then apply the 15% off coupon.
Pants price after discount: 0.75n
Total price after coupon: 0.85(0.75n + s) = 0.6375n + 0.7225s
Option 2: Apply the 15% off coupon to the entire purchase.
Total price after coupon: (n + s) - 0.15(n + s) = 0.85n + 0.85s
Comparing the two options, we find that the customer should choose Option 2, which is to apply the 15% off coupon to the entire purchase.