Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences and show your work.
Answers
Tess ...
15% of 24.50 = 0.15(24.5) = 3.675 -- this is your 15% discount
subtracts from normal price = 24.50 - 3.675 = 20.825 -- this is reduced price
10% of discounted selling price = .10(20.825) = 2.0825
adds back to find purchase price = 20.825 + 2.0825 = 22.9075 rounds to 22.91
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Dan ...
85% of normal purchase price = 0.85(24.5) = 20.825
110% of reduced price = 1.10 (20.825) = 22.9075 rounds to 22.91
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Is Tess correct ? Yes
Is Dan correct ? Yes
Do they have enough money ? Yes
Basically, subtracting 15% is the same as paying 85%...and finding 10% of selling price and adding that back to discount price to find purchase price is the same as adding 110% of reduced price to get purchase price.
hope it helps you...
They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to