Question

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. Be sure to show your calculations for determining the final cost of the book for each student.

Answer 1

The book cost 28.50 + 10%. Take 28.50 x .10 = 2.85 + 28.50 = 31.35 students get a 35% discount take 31.35x.35=10.97 now subtract 31.35 -10.97= 20.48 they have 21.00 dollars to spend after buying the book they .52 cents left.