Question

Bestbuy is having a 25% off the regular price of all items sale. The original price of a pair of headphones is $p. The expression p - 0.25p represents the final sale price of the headphones. Which describes an equivalent discount on these headphones?

A. Buying 3 pairs of headphones at regular price and getting 1 pair for free because the price per pair would be 0.75p
B. Buying one pair of headphones at regular price and getting 1 more pair for 75% off the original price because the price per pair would be 1.75p
C. Buying 5 pairs of headphones at regular price and getting 20% off the total because the price per pair would be 0.75p
D. Buying 4 pairs of headphones at regular price and getting 50% off the total because the price per pair would be 1.75p

Answer 1

Option A describes an equivalent discount on the headphones to a 25% off sale, where buying 3 pairs at regular price and getting 1 pair for free equals the same average price per pair.

Step-by-step explanation:

The expression p - 0.25p represents the final sale price of the headphones after a 25% discount. To find an equivalent discount, we want a scenario that results in the same final price per pair of headphones, which should be 0.75p after the discount. In option A, if you buy 3 pairs of headphones at regular price and get 1 pair for free, your total cost for 4 pairs is 3p, making the effective price per pair 0.75p, matching the original discount scenario. Therefore, option A describes an equivalent discount to the original 25% off each item.