SOLUTION: Q.) A, B and C bought apples in the ratio 5:3:2. If the difference of apples between A and C is 60, find the difference between B and C.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Q.) A, B and C bought apples in the ratio 5:3:2. If the difference of apples between A and C is 60, find the difference between B and C.      Log On


   

Question 1149441: Q.) A, B and C bought apples in the ratio 5:3:2. If the difference
of apples between A and C is 60, find the difference between B
and C.
Answer by greenestamps(13334) About Me  (Show Source):
You can put this solution on YOUR website!


Given the ratio A:B:C = 5:3:2,

let A = 5x
let B = 3x
let C = 2x

That is one standard method for starting work on a problem where a ratio like that is given.

So we know the difference between A and C is 60:
5x-2x+=+60
3x+=+60
x+=+20

And so

A = 5x = 100
B = 3x = 60
C = 2x= 40

And then the difference between B and C is 60-40 = 20.