Problema Solution

Alex and Lara have $21.00 each to spend at a book fair, where all students receive a 35% 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, Alex takes 35% 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. Lara takes 65% of the normal purchase price and then computes 110% of the reduced price. Is Alex correct? Is Lara correct? Do they have enough money to purchase the book? Explain your answer using complete sentences

Answer provided by our tutors

The purchase price of the book for students is: 28.50*1.10*0.65 = $20.3775


Alex's calculation: (28.50*1.10 - 0.35*28.50) + 0.10*28.50*1.10*0.65 = $23.41


Lara's calculation: 0.65*28.50*1.10 = $20.3775


Lara is correct.


Since $20.3775 < $21 the have enough money to purchase the book.