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anonymous
 5 years ago
ms.gonzalez wanted to buy a book that was on sale 25% off the original price. the bookstore was offering an additional 20% off to customers who used store credit cards. after all the discounts, ms. gonzalez paid $24.00 for the book. what was the original price in dollars?
anonymous
 5 years ago
ms.gonzalez wanted to buy a book that was on sale 25% off the original price. the bookstore was offering an additional 20% off to customers who used store credit cards. after all the discounts, ms. gonzalez paid $24.00 for the book. what was the original price in dollars?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0let the original price be x, then 24=x0.25x0.20x > 24=0.55x > x=$43.6

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0x × (10.25) × (10.20) = 24 24 ÷ 0.80 ÷ 0.75 = 40 AnwarA's error is that the 0.020x term should be (0.022×0.020)x, because the second discount is cumulative with the first. The total discount is 1(10.25)×(10.20) = 10.75×0.80 = 10.60 = 0.40; the original price is 24 ÷ 0.60 = 40; the discounted price is 40 × 0.60 = 24 and the discount amount is 40 × 0.40 = 16.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0err... typos; that should say "the 0.20x term should be (0.25×0.20)x"

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i am still confused is their an easier way to explain it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0A percentage discount reduces the price by some factor less than one; e.g. 20% of x is x⋅0.20, so 20% off x means the price goes down from x to xx⋅0.20, or, by the distributive property, the price goes down to x⋅(10.20). This can be repeated to apply multiple discounts. This question asks you to reverse the process  to take the discounted price and find the original price, like solving 24=x⋅(10.20) for x. Naturally, x = 24÷(10.20), and again you can repeat this for multiple discounts.
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