Question

Micah wants to purchase shoes from three local stores. The same shoes were available at the three different stores for a price of 54 dollars each. Each store is having a sale. Store A offers a 1/6 discount off the original price of the shoes. Store B offers 5 dollars off the price of the shoes. Store C offers the shoes at a 1/9 discount off the original price of the shoes. What is the price Micah will pay for the shoes at each store after the discounts?

a. Store A: $45, Store B: $49, Store C: $48
b. Store A: $51, Store B: $49, Store C: $48
c. Store A: $50, Store B: $49, Store C: $48
d. Store A: $44, Store B: $50, Store C: $47

Answer 1

After applying the respective discounts, the final prices for the shoes at Store A, Store B, and Store C are $45, $49, and $48.

Step-by-step explanation:

To calculate the discounted price Micah will pay for shoes at each store after the applicable sales, we must use the original price of 54 dollars per pair and apply the given discounts.

• Store A is providing a 1/6 discount. Hence, the discount amount is 1/6 of $54, which is $9. Subtracted from the original price, the shoes will cost 54 - 9 = $45.
• Store B offers a flat $5 discount. Therefore, the cost of the shoes at Store B will be 54 - 5 = $49.
• Store C offers a 1/9 discount. This is $54 divided by 9, equating to a $6 discount. So, the final price at Store C is 54 - 6 = $48.

Thus, the prices at stores A, B, and C are $45, $49, and $48, respectively.