SOLUTION: 2. Suppose you pay $55.00 for a backpack that has been discounted 15%. What is the original price of the backpack to the nearest cent? Show how you identify what you are looking fo

Algebra ->  Finance -> SOLUTION: 2. Suppose you pay $55.00 for a backpack that has been discounted 15%. What is the original price of the backpack to the nearest cent? Show how you identify what you are looking fo      Log On


   

Question 1132494: 2. Suppose you pay $55.00 for a backpack that has been discounted 15%. What is the original price of the backpack to the nearest cent? Show how you identify what you are looking for, set up a proportion, arrive at your answer, and check your work. Then clearly state your answer.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
given:
you pay $55.00 for a backpack that has been discounted 15%=>
so, you actually pay 85% of the original price and it is ratio 85%2F100
if the original price of the backpack was $x, we have
85%2F100=55%2Fx

85x=5500
x=5500%2F85
x=64.70588235294118
$x=64.71

check your work:
the original price of the backpack is $x=64.71
find 15% of the original price: $0.15x=64.71%2A0.15=9.705882352941176=9.71
deduct discount from the original price:
$64.71-9.71=55 which confirms your solution