Question 491543
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