Question

Tess and Dan have $24.00 each to spend at a book fair, where all students receive a 15% discount. They both want to purchase a copy of the same book, which normally sells for $24.50 plus 10% sales tax. To check if she has enough to purchase the book, Tess takes 15% of $24.50 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. Dan takes 85% of the normal purchase price and then computes 110% of the reduced price. Is Tess correct? Is Dan correct? Do they have enough money to purchase the book? Explain your answer using complete sentences and show your work.

Answer 1

Tess's equation:
24.50* 0.15 (15%) = 3.675 --> $3.67
24.50-3.67 = 20.83
20.83*0.1 (10%) = 2.083 --> 2.08
20.83+2.08= $22.91

Dan's equation:
24.50* 0.85 (85%) = 20.825 --> 20.82
24.50-20.82 = 3.68
3.68* 1.1 (110%) = 4.048 --> 4.05
3.68 - 4.05 = -0.37

Tess is correct, and Dan is incorrect. Tess has enough money to purchase the book. The price of a single book when finding the total amount while doing the tax and discount is $22.91. Tess will have $1.09 left over after purchasing the book.