A sweater is on sale for 12% off. The sale price is $44.00. What is the original amount of the sweater?

Work Shown:

x = original price

y = sale price

d = discount = amount saved

d = 12% of x = 0.12x

y = x - d = x - 0.12x = 0.88x

Note how 0.88 = 88%, and this represents the percentage you have to pay if you get 12% off.

We're told the sale price is y = 44, so this leads to...

y = 0.88x

44 = 0.88x

0.88x = 44

x = 44/0.88

x = 50

The original price was $50

Check:

If the original price was $50, then the amount you save is 0.12*50 = 6 dollars, which is the discount.

The sale price is 50-6 = 44 dollars which matches up with what your teacher gave you. The answer is confirmed.

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