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

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) (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

:: = ::

and

 = 
 = 
 = 

------------------------------------------

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

then

:: = ::


:: = ::

 = 
 = 
 = 

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

Edwin

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