SOLUTION: the ratio of income of A to that B is 5:4 and the expenditure of A to that of B is 3:2 if at end of the year each saves 800 the income of A is ?

Question 620029: the ratio of income of A to that B is 5:4 and the expenditure of A to that of B is 3:2 if at end of the year each saves 800 the income of A is ?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
the ratio of income of A to that B is 5:4
=
Cross multiply
5B = 4A
B = A
B = .8A
:
and the expenditure of A to that of B is 3:2
:
at then end of the year each saves 800,
:
therefore we can say
=
Cross multiply
2(A-800) = 3(B-800)
2A - 1600 = 3B - 2400
2A = 3B - 2400 + 1600
2A = 3B - 800
replace b with .8A
2A = 3(.8A) - 800
2A = 2.4A - 800
2A - 2.4a = -800
-.4A = -800
A =
A = $2000 is A's income

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