Question

Gloria was shopping for new shoes at a store near her home. On the shelf where she found the shoes she wanted, she saw two signs. The first one read, "Clearance: 18% off." The second one read, "$12 off – Instant Savings." The original price of the shoes was $75.00. Gloria lives in Oregon, where there is no sales tax.

Part A: How much will Gloria pay for the shoes if the 18% discount is applied before the $12 discount?
Part B: How much will Gloria pay for the shoes if the $12 discount is applied before the 18% discount?
a) A: $50.70, B: $57.00
b) A: $56.55, B: $48.00
c) A: $57.00, B: $50.70
d) A: $48.00, B: $56.55

Answer 1

Part A: After a clearance discount of 18% and then a $12 discount, Gloria will pay $49.50. Part B: After a $12 discount and then an 18% discount, Gloria will pay $51.66. Therefore, the correct figures are not listed in the given options.

Step-by-step explanation:

To solve for Part A, where the 18% discount is applied before the $12 discount:

1. Calculate 18% of the original price: $75.00 × 0.18 = $13.50.
2. Subtract the discount from the original price: $75.00 - $13.50 = $61.50.
3. Apply the $12 discount to the new price: $61.50 - $12.00 = $49.50.

For Part B, where the $12 discount is applied before the 18% discount:

1. Subtract the $12 discount from the original price: $75.00 - $12.00 = $63.00.
2. Calculate 18% of the new price: $63.00 × 0.18 = $11.34.
3. Subtract the percentage discount from the new price: $63.00 - $11.34 = $51.66.

Therefore, the correct option is a) A: $49.50, B: $51.66, which is not listed in the given options.