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Vaselesa [24]
3 years ago
8

Oscar and Kim have $22.00 each to spend at a book fair, where all students receive a 30% discount. They both want to purchase a

copy of the same book, which normally sells for $28.50 plus 10% sales tax. To check if he has enough to purchase the book, Oscar takes 30% of $28.50 and subtracts that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount. Kim takes 70% of the normal purchase price and then computes 110% of the reduced price. Is Oscar correct? Is Kim correct? Do they have enough money to purchase the book? Explain your answer using complete sentences, and show your work.
Mathematics
1 answer:
salantis [7]3 years ago
7 0
$28.50*0.30= $8.55+10%=9.40, so the book costs $9.40 and they are able to buy it!
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First let’s define a shirt as X and pants as Y!

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Now because we have two different variables (X & Y) let’s solve for one of them (Ex: Y) to simplify the equations!

3X + Y= $32—> subtract 3X on both sides of the equation  

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Now we can insert this into the second equation 2X + 3Y = $40 in order to solve for X variable  

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2X + 96 - 9X = $40 —> simplify the equation  

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-7X = -56 —> divide both sides by -7  

X= 8  

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y = 8

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