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.

Is Alex correct? Is Lara correct? Do they have enough money to purchase the book? Explain your answer using complete sentences, and show your work.

 Alex takes 35% of $28.50 and subtracts that amount from the normal price.

So, 35% x 28.50 = 9.975 = 9.98

28.50 – 9.98 = 18.52

He takes 10% of the discounted selling price and adds it back to find the purchase amount.

10% x 18.52 = 1.852

1.852 + 18.53 = 20.38

Lara takes 65% of the normal purchase price and then computes 110% of the reduced price. 

65% x 28.50 = 18.525 = 18.53

110% x 18.53 = 20.38

Both Alex and Lara are correct and they both ended having the same answer (that's a sign). They do have enough money to buy their book because they each have $21.00, and they will end up paying $20.38 with 62c left.

Hope this helps

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