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

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15-09-2018
Mathematics

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

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MrGumby MrGumby · Answer 1 · 2018-09-20T02:42:52+02:00

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