Question

50 points! A $60 sweater is marked "8 % off." If there is a sales tax of 7%, will the actual amount paid for the sweater be greater, less than, or equal to $60? Explain your answer and show all work.

Answer 1

60 x 8% = 4.8 4.8 discount
60 - 4.8 = $55.2 pricewith discount
55.2 x 7% = 3.86 tax
55.2 + 3.86 = $59.06 so it would be less than $60.00.

Answer 2

60*0.08 Multiply the price of the sweater by 0.08, or 8%
4.8 solution
60-4.8 Subtract discount from original price
55.2 solution
7/100=a/55.2 construct formula to find sales tax
a=3.864 solution
55.2+3.864 add solution to discounted price
59.064 solution
$59.06 round down to 59.06


It will be less than 60 dollars because, according to the work shown, 59.06<60.