SOLUTION: A segment 150 cm long is divided into 3 parts in the ratio 2:3:5. How long is each part?

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Question 795235: A segment 150 cm long is divided into 3 parts in the ratio 2:3:5. How long is each part?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
A segment 150 cm long is divided into 3 parts in the ratio 2:3:5. How long is each part?
Rule:

if A:B:C = D:E:F then

A%2F%28A%2BB%2BC%29:B%2F%28A%2BB%2BC%29:C%2F%28A%2BB%2BC%29 = D%2F%28D%2BE%2BF%29:E%2F%28D%2BE%2BF%29:F%2F%28D%2BE%2BF%29

and

A%2F%28A%2BB%2BC%29 = D%2F%28D%2BE%2BF%29
B%2F%28A%2BB%2BC%29 = E%2F%28D%2BE%2BF%29
C%2F%28A%2BB%2BC%29 = F%2F%28D%2BE%2BF%29

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Let A+B+C = 150 where A:B:C = 2:3:5

then

A%2F%28A%2BB%2BC%29:B%2F%28A%2BB%2BC%29:C%2F%28A%2BB%2BC%29 = 2%2F%282%2B3%2B5%29:3%2F%282%2B3%2B5%29:5%2F%282%2B3%2B5%29


A%2F150:B%2F150:C%2F150 = 2%2F10:3%2F10:5%2F10

A%2F150 = 2%2F10
B%2F150 = 3%2F10
C%2F150 = 5%2F10

Solve each by cross-multiplying and get A=30 cm, B=45 cm, C=75 cm

Edwin