SOLUTION: With the major options package and destination charge, a sports car cost $24,416. The base price of the car was ten times the price of the major options package and fifty times the
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Question 491543: With the major options package and destination charge, a sports car cost $24,416. The base price of the car was ten times the price of the major options package and fifty times the destination charge. What was the base price of the car? Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! d = destination charge
m = major options package
b = base price
b + m + d = 24416
.
b = 10*m (given)
So
m = b/10
.
b = 50*d (given)
So
d = b/50
.
Substituting...
b + b/10 + b/50 = 24416
Multiply through by 50 to eliminate fractions
50b + 5b + b = 50*24416
56b = 50*24416
Divide both sides by 56 to find b
b = 50*24416/56
b = 21800
.
m = b/10
m = 2180
.
d = b/50
d = 436
.
Does that add up?
b + m + d = 21800 + 2180 + 436
b + m + d = 24416
Correct!
.
Answer:
base price = $21,800
major options = $2,180
destination charge is $436
.
Done
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