Sweaters already on sale for 30% off the regular price cost $28 when purchased with a promotional coupon that allows an additional 20% discount. Find the original price. (hint: when you save 20%, you are paying 80%.)

Question

Mathematics

Adam Hoover

6 May, 11:59

Sweaters already on sale for 30% off the regular price cost $28 when purchased with a promotional coupon that allows an additional 20% discount. Find the original price. (hint: when you save 20%, you are paying 80%.)

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Answers (1)

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Fletcher Forbes · Answer 1

The original price was $50.

To find this we need to start with the price you paid ($28). We then use this cost to find the pre-coupon price. Since the coupon affords a 20% discount, that means you pay for 80%. To solve this, simply divide the price you paid by the percentage you paid.

$28/.80 = $35.

Now that we have the pre-coupon price ($35), we can use that to find the original price. Again, we'd want to divide that by the percentage you paid for, which is 70%.

$35/.70 = $50