SOLUTION: Road A is twice as long as Road B. Road C is 3.5 km shorter than three times the length of Road B. If the total length of the three roads is 47.5 km, Which road is the longest?

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Question 1054035: Road A is twice as long as Road B. Road C is 3.5 km shorter than three times the length of Road B. If the total length of the three roads is 47.5 km, Which road is the longest?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=2B
C=3B-3.5
A%2BB%2BC=47.5
Substituting,
2B%2BB%2B3B-3.5=47.5
6B=51
B=51%2F6
B=17%2F2km
So then,
A=2%2817%2F2%29
A=17km
and
C=3%2817%2F2%29-3.5
C=51%2F2-7%2F2
C=44%2F2
C=22km