Two stores sell the same computer for the same original price. Store A advertises that the computer is on sale for 25% off the original price. Store B advertises that it is reducing the computer’s price by $180. When Brittany compares the sale prices of the computer in both stores, she concludes that the sale prices are equal.

Let p represent the computer’s original price.

What equation models this situation?

A. 0.75p=p+1800.75p=p+180

B. 0.25(p−180)=p0.25(p−180)=p

C. 0.25p=p−1800.25p=p−180

D. 0.75p=p−180

Respuesta :

I'm pretty sure your answer would be B but I would have to say to try and get another answer to back it up cause I am not 100% sure

Answer:  Option 'D' is correct.

Step-by-step explanation:

Let the original price of computer be p.

Store A advertises that he compute is on sale for 25% off the original price.

Amount of discount would be

[tex]\dfrac{25}{100}\times p\\\\=0.25p[/tex]

So, Price after discount becomes

[tex]p-0.25p\\\\=0.75p[/tex]

Store B advertises that it is reducing the computer's price by $180.

So, Price after reduction becomes,

[tex]p-180[/tex]

According to question, she concludes that the sale prices are equal,

So, our equation becomes,

[tex]0.75p=p-180[/tex]

Hence, Option 'D' is correct.