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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. What is the computer’s original price? Write and solve an equation.

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musiclover10045

Let the price of the computer = X

Store A is selling it for 25% off, so they are selling it for 75% of the original price, so you have 0.75X

Store B is selling it for 180 less the original price, so you have X - 180

Now set both equations to equal and solve for x:

0.75x = X-180

Subtract 1X from each side:

-0.25x = -180

Divide both sides by -0.25:

x = -180 / -0.25

X = 720

The original price is $720

check:

720 x 0.25 = 180

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