SOLUTION: Chris sells two different paintings for $100 each. Chris makes x% profit on the sale of one painting and has an x% loss on the sale of the other painting. if Chris' loss on both sa

Question 1042331: Chris sells two different paintings for $100 each. Chris makes x% profit on the sale of one painting and has an x% loss on the sale of the other painting. if Chris' loss on both sales is $2, what is the exact value of x^2?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Chris sells two different paintings for $100 each.
Chris makes x% profit on the sale of one painting and has an x% loss on the sale of the other painting.
if Chris' loss on both sales is $2, what is the exact value of x^2?
:
This will obtain x in decimal form
1st painting cost =
2nd painting cost =
:
The equation
1st painting cost + 2nd painting cost - $200 = $2
+ - 200 = $2
100(1-x) + 100(1+x) - 200(1+x)(1-x) = 2(1+x)(1-x)
100 - 100x + 100 + 100x - 200(1-x^2) = 2(1-x^2)
200 - 200 + 200x^2 + 2x^2 = 2
202x^2 = + 2
x^2 = 2/202
x^2 = .01, this is the answer they want
x =
x = .1 or 10% is the interest
:
:
see if this checks out find the cost of each painting
100/1.1 = $ 90.90
100/0.9 = $111.10
-----------------------
total cost:$202, $2 more then he received

RELATED QUESTIONS
As an investment Ms. Astoy purchased 2 paintings. She later sold the 2 paintings for... (answered by ankor@dixie-net.com)

Chris rent a booth at a flea market for $120 for one day. At the flea market, Chris sells (answered by TutorDelphia)

A merchant has three baskets full of oranges. he sells one basket at a loss percentage of (answered by josmiceli)

An artist sells 20 paintings for $7.Some cost 14 cents and rest 12 cents each.how many of (answered by ewatrrr)

A trader sells two T-shirts at $48 each. She gains 25% on the cost price for one T-shirt... (answered by MathTherapy)

An artist is painting a supply of small paintings to sell at an arts festival. He can... (answered by ankor@dixie-net.com)

A pawnbroker buys a computer and a guitar for $500. He sells the computer at a markup of... (answered by Edwin McCravy)

Grace sells two sets of commemorative coins for $750 each. She gains 25% on one and lose... (answered by ikleyn)