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.
which equation models this situation?
let p represent the computer’s original price.
a. 0.25p = p – 180
b. 0.75p = p + 180
c. 0.25(p – 180) = p
d. 0.75p = p − 180

We are required to find equation which compare the price of computer in both stores.

The equation that represents the expression is 0.75p = p - 180 and the value of the computer's original price is $720

Let

p = the computer’s original price.

Store A = 25% off the original price.

= p - (25% of p)

= p - (25/100 × p)

= p - (0.25 × p)

= p - 0.25p

= 0.75p

Store B = p - 180

The equation:

Store A = store B

0.75p = p - 180

0.75p - p = -180

-0.25p = -180

divide both sides by -0.25

p = -180 / -0.25

p = $720

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