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A bookstore manager marks down the price if older hardcover books, which originally sell for b dollars, by 46%

a. Write the mark down as a decimal
b. Write two expressions for the sale price of the hardcover book
c. What is the price of a hardcover book for which the original retail price was $29.00
d. If you buy the book in part c how much do you save by paying the sale price?

User Nicocube
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2 Answers

2 votes

Answer: Check Explanation Below ;)

Explanation:

A: To find the decimal value, we just need to convert 46% into a decimal is the marked down/sale price was reduced by 46%. 46% in decimal form is 0.46

B: Two expressions would be 0.46b+0.56b=1b and 1b-0.46b=0.56b. This is since the 46% is removed from being on discount, you would only have 56% of the original product price.

C: If $29 was the original price, we can divide $29 by 100 and get $0.29. Then we could multiply that by 56 and get $16.24 as our discounted price. This is since 46% is gone from the new price meaning the $16.24 was 56% of the original price.

D: Looking at our second expression, we can subtract 29 (1b) by 16.24 (0.56b) and get the (0.46b) value. The difference of 29 and 16.24 is $12.76. That means you would save 46% or $12.76 off the order with the discount which sounds like a pretty good deal.

Hope that helped a lot. Let me know any further questions.

:)

User Kurt UXD
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6.7k points
5 votes

Answer:

a) 46% reduction = 1-(46/100)= 0.54

b) 46% reduction = 1-(46/100)= 0.54

price after reduction: b*0.54 =0.54b

or b-(b*46)/100 = b-(46b/100)= (100b-46b)/100 = 54b/100

c) 29*0.54=$15.66

gold 29-(54*29)/100 = $15.66

d) $29-$15.66=$13.34

Explanation:

User Vinnydiehl
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7.9k points