Question 1058131: The basic model of a particular car (2WD) with a power sunroof costs $26,495. When equipped with four-wheel drive (4WD) and a sunroof, the vehicle's price rose to $29,235. The cost of the basic model with 4WD was $28,135. Find the basic price, the cost of 4WD, and the cost of a sunroof.
Answer by solve_for_x(190)   (Show Source):
You can put this solution on YOUR website! Let B represent the price of the basic model.
Let S represent the price of the sunroof package.
Let F represent the price of the 4WD package.
Since the price of the basic model with sunroof is 26,495, you can write:
(1) B + S = 26,495
Then, since the price of the basic model with both 4WD and sunroof is 29,235,
you can write:
(2) B + F + S = 29,235
And since the price of the basic model with just the 4WD package is 28,135, you
can write:
(3) B + F = 28,135
Subtracting (3) from (2) will give you S:
(B + F + S) - (B + F) = 29,235 - 28,135
S = 1,100
Substituting 1,100 in place of S in (1) and solving for B gives:
B + 1,100 = 26,495
B = 26,495 - 1,100
B = 25,395
Finally, substituting 25,395 in place of B in (3) and solving for F gives:
25,395 + F = 28,135
F = 28,135 - 25,395
F = 2,740
Solution:
The costs are:
Basic model: 25,935
Sunroof package: 1,100
4WD package: 2,740
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