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Question 363852: Model Cars, Inc. makes red cars, white cars, and blue cars. THe profit on a blue car is $10 more than the profit on a white car, and the profit on a red car is $7 less than the profit on a white car. If the profit on 2 red cars is $2 less than the profit on one blue car, what is the profit on a blue car?
Answer by amoresroy(361)   (Show Source):
You can put this solution on YOUR website! Model Cars, Inc. makes red cars, white cars, and blue cars. THe profit on a blue car is $10 more than the profit on a white car, and the profit on a red car is $7 less than the profit on a white car. If the profit on 2 red cars is $2 less than the profit on one blue car, what is the profit on a blue car?
Let b = profit on a blue car
w = profit on a white car
r = profit on a red car
b = w + 10 (1)
r = w - 7 (2)
2r = b -2
2r-b= -2 (3)
Subtract eq. (2) by 2q. (1)
r - b = 0 - 7 - 10
r - b = -17 (4)
Subtract eq. (3) by eq. (4)
r - 0 = -2 - (-17)
r = 15
in eq (2)
r = w - 7
15 = w - 7
w = 22
in eq (1)
b = w + 10
b = 22 + 10
b = 32
The profit on a blue car is $32
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