SOLUTION: Ron bought a computer, listed at $x, at a 15% discount. He also paid a 5% sales tax. After 6 months, he decided to sell the computer secondhand for $y, which was 55% of what he p

Algebra ->  Percentages: Solvers, Trainers, Word Problems and pie charts -> SOLUTION: Ron bought a computer, listed at $x, at a 15% discount. He also paid a 5% sales tax. After 6 months, he decided to sell the computer secondhand for $y, which was 55% of what he p      Log On


   



Question 1029329: Ron bought a computer, listed at $x, at a 15% discount. He also paid a 5% sales tax. After 6 months, he decided to sell the computer secondhand for $y, which was 55% of what he paid originally. Express y as a function of x.
My answer: y=-55% = x-15%+5%. I'm very confused?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The 15% discount made the purchase price 0.85x dollars. The tax may be in addition to the purchase price, so if the 5% tax is based on the LISTED price, then purchase price PLUS the tax becomes 0.85x%2B0.05x.

Fully, what he paid was 0.85x%2B0.05x=0.90x.

Ron sold the computer for y dollars.
y=0.55%28whatHeFullyPaid%29
y=0.55%2A0.9x
highlight%28y=0.495x%29

Read through the description one phrase at a time, watching the numbers and any variables, and build-up the expressions and equations, and connect any identified relationships.

This question is a little ambiguous to me, so I ASSUMED the tax is based on the listed price, and not on the price of AFTER DISCOUNT.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Ron bought a computer, listed at $x, at a 15% discount. He also paid a 5% sales tax. After 6 months, he decided to sell the computer secondhand for $y, which was 55% of what he paid originally. Express y as a function of x.
My answer: y=-55% = x-15%+5%. I'm very confused?
List price: $x
Cost after a 15% discount: .85(x), or .85x
Total cost after paying 5% sales tax: 1.05 * .85x, or .8925x
Considering that he sold it for 55% of the total cost (computer cost, plus sales tax), the selling price, or y = .55(.8925x), or highlight_green%28y+=+.490875x%29