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Shkiper50 [21]
3 years ago
5

You buy a sweater for $32, which is 30% off the original price. what was the original price?

Mathematics
1 answer:
Nataliya [291]3 years ago
8 0

Answer:

45.71 = original price

Step-by-step explanation:

The sale price is equal to the original price minus the discount

sale price = original price - discount

The discount is equal to the original price  times the percent off

discount = original price * percent off

Substitute into the first equation

sale price = original price - original price * percent off

Factor out the original price

sale price = original price (1-percent off)

We know the sale price=32 and the discount = 30% = .3

32 = original price (1-.3)

32 = original price (.7)

Divide each side by .7

32/.7 = original price (.7)/.7

45.71 = original price

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