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Maria and Edwin have \$23.00 each to spend at a book fair, where all students receive a 25% discount. They both want to purchase a copy of the same book, which normally sells for \$26.50 plus 10% sales tax. To check if she has enough to purchase the book, Maria takes 25% of \$26.50 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. Edwin takes 75% of the normal purchase price and then computes 110% of the reduced price. Is Maria correct? Is Edwin correct? Do they have enough money to purchase the book? Explain your answer using complete sentences.

Jun 14, 2017

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Maria's calculation of the final price

Discounted price      +  10%  of discounted price

[26.50 - .25(26.50)] + .10 [26.50 - .25(26.50)]    ≈ \$21.87

Edwin's calculation of the final price

75% of price * 110%

[26.50 (75)] (1.10 ) ≈  \$21.87

Both methods result in the exact same amount  !!!!

Jun 14, 2017