SOLUTION: A sum of money is divided among Alan. Bill and Carl in the ratio 2:4:7. If Carl receives $27 more than Bill, how much more does Bill receive than Alan?

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Question 1110373: A sum of money is divided among Alan. Bill and Carl in the ratio 2:4:7. If Carl receives $27 more than Bill, how much more does Bill receive than Alan?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
A,B,C for Alan, Bill, Carl

A:B:C is ratio 2:4:7.

system%28C=B%2B27%2CB%2FC=B%2F%28B%2B27%29=4%2F7%29
This will give system%28B=36%2Cand%2CC=63%29. You can check on the rest of the quantities of the question.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Alan got 2 elementary parts (2x);

Bill got 4 elementary parts (4x);

Carl got 7 elementary parts (7x).



7x - 4x = 27

3x = 27  ====>  x = 27%2F3 = 9.



Alan got $9*2 = $18;

Bill got $9*4 = $36;

Carl got $9*7 = $63.