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
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-> 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
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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
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total cost:$202, $2 more then he received
