# Mr. Maxwell bought new basketball shows with the discount shown. He has a $10-off coupon he can use after the percentage off. If Mr. Maxwell bought th necessaryh 2021-02-18 Answered Mr. Maxwell bought new basketball shows with the discount shown. He has a$10-off coupon he can use after the percentage off. If Mr. Maxwell bought the shows for $61.25, what was the original price? A. If the shoes are discounted 25%, what percent of the original price is the original price? 25% discount is the same as 75% of the original price. B. Fill in the boxes to set up the equation to find the original price of the shoes. Original Price =61.25 C. What would be the price without a$10-off coupon?
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## Expert Answer

Roosevelt Houghton
Answered 2021-02-19 Author has 106 answers

A. The original price is 100% so if 25% of the price is taken off, then $100\mathrm{%}-25\mathrm{%}=75\mathrm{%}$ of the price remains. Therefore, a 25% discount is the same as 75% of the original price.
B. From part A, we know that he pays 75% of the original price so the first box needs to be filled in with 75. Since he also takes off $10 using the coupon, then 10 needs to go in the second box to represent the price after the coupon. Therefore: 75%⋅ Original Price - $10=61.25$ C. The price of$61.25 was the price after both discounts. Since the $10-off coupon was applied last, then the price without the$10-off coupon is the final price of $61.25 plus$10. Therefore:
$61.25+10=71.25$
The price would then be $71.25 without a$10-off coupon.

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