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 □□% 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−=61.25 C. What would be the price without a $10-off coupon? 61.25+□=□61.25+□=□ $_____

Question
Ratios, rates, proportions
asked 2021-02-18
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 □□% 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−=61.25
C. What would be the price without a $10-off coupon?
61.25+□=□61.25+□=□ $_____

Answers (1)

2021-02-19
A. The original price is 100% so if 25% of the price is taken off, then 100%−25%=75% 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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