Two stores sell the same refrigerator for the same original price. Store A advertises that the refrigerator is on sale for 15% off the original price. Store B advertises that it is reducing the refrigerator’s price by $150. When Stephanie compares the sale prices of the refrigerator in both stores, she concludes that the sale prices are equal.

Question

Let p represent the refrigerator’s original price.

Which equation models this situation?

Responses

0.15p=p−150
0.15 p equals p minus 150

0.85p=p−150
0.85 p equals p minus 150

0.15p=p+180
0.15 p equals p plus 180

0.85(p−150)=p

Answer 1

To model the situation with an equation, we first need to determine the sale prices at both stores.

For Store A, which has a 15% discount off the original price \( p \):

• Sale price at Store A = \( p - 0.15p = 0.85p \)

For Store B, which reduces the price by $150:

• Sale price at Store B = \( p - 150 \)

According to the problem, the sale prices are equal, so we can set them equal to each other:

\[ 0.85p = p - 150 \]

Thus, the equation that models this situation is:

\[ 0.85p = p - 150 \]

So the correct response is:

0.85p = p - 150