SOLUTION: Three brothers, A,B,C, bought a farm for $5,000. A could pay for it alone by borrowing 1/3 of B's money and 1/2 of C's money. B could pay for it by borrowing 1/2 of A's and 1/4 of

Question 451883: Three brothers, A,B,C, bought a farm for $5,000. A could pay for it alone by borrowing 1/3 of B's money and 1/2 of C's money. B could pay for it by borrowing 1/2 of A's and 1/4 of C's money. C could pay for it by borrowing 1/4 of A's and 1/6 of B's money. How much money does each have?

Answer by pedjajov(51) (Show Source): You can put this solution on YOUR website!
Brothers has a, b and c dollars. From the text we have

, multiply by 6
, multiply by 4
, multiply by 6

-> a=(30000-2b-3c)/6, substitute in the second

, multiply by 6

Going back to a we have ->

, let use it in third equation together with value for b

, multiply by 6

One more time going back to a we have

So brothers have
A=$2000
B=$3000
C=$4000
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