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 "25%-off sale on all pants" option?
A.
n + 0.25n + s
В.
0.25n + s
C.
n - 0.25n + s
0.75n + s
n + 0.75n - s
0.25S+n
The two expressions that represent the "25%-off sale on all pants" option are:
B. 0.25n + s
C. n - 0.25n + s
Now let's calculate the prices for each option given that the original cost of the pants is $25 and the shirt is $12.
For option B:
0.25n + s = 0.25(25) + 12 = 6.25 + 12 = $18.25
For option C:
n - 0.25n + s = 25 - 0.25(25) + 12 = 25 - 6.25 + 12 = $30.75
Now, let's consider the coupon for 15% off the entire purchase. The two expressions representing the discounted price with the coupon are:
A. n + 0.75n - s
D. 0.25s + n
Using the same values for n and s, we can calculate the prices for each option:
For option A:
n + 0.75n - s = 25 + 0.75(25) - 12 = 25 + 18.75 - 12 = $31.75
For option D:
0.25s + n = 0.25(12) + 25 = 3 + 25 = $28
Comparing the prices for each option, the customer should choose the "25%-off sale on all pants" option (option B) as it gives a lower price of $18.25 compared to the discounted price with the coupon options.