SOLUTION: Andy, Taylor and Ben share their team payment in the ratio 1 : 3 : 4. What percentage of the total does Andy receive?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Andy, Taylor and Ben share their team payment in the ratio 1 : 3 : 4. What percentage of the total does Andy receive?      Log On


   

Question 1082551: Andy, Taylor and Ben share their team payment in the ratio 1 : 3 : 4.
What percentage of the total does Andy receive?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Any time we have a:b:c, we can interpret that as:

The fraction of the total which a is, is a%2F%28a%2Bb%2Bc%29
The fraction of the total which b is, is b%2F%28a%2Bb%2Bc%29
The fraction of the total which c is, is c%2F%28a%2Bb%2Bc%29

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We have A:T:B = 1:3:4

So the fraction of the total which Andy gets is 1%2F%281%2B3%2B4%29 or 1%2F8.

So 1%2F8 is the FRACTION of the total which Andy gets.

All we have to do is change the fraction 1%2F8 to a percent.

Divide 1 by 8, get 0.125, move the decimal two places right
and put on a %

Answer 12.5%

Edwin