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Home Depot is having a 45% off sale on air conditioners. Sarah pays $124 for an air conditioner. What was the original price

Question

Home Depot is having a 45% off sale on air conditioners. Sarah pays $124 for an air conditioner. What was the original price?

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Solution

To find the original price of the air conditioner, we need to understand that the 45% off means Sarah paid 55% of the original price (100% - 45% = 55%).

  1. First, we need to set up the equation to solve for the original price. Let's denote the original price as X. We know that 55% of X equals 124.Inequationform,thisis0.55X=124. In equation form, this is 0.55X = 124.

  2. To solve for X, we need to divide both sides of the equation by 0.55. So, X = $124 / 0.55.

  3. Doing the division, we find that X = $225.45 approximately.

So, the original price of the air conditioner was approximately $225.45.

This problem has been solved

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