SOLUTION: Solve this problem by using a two order system. A man invests $5,200, part at 4% and the balance at 3%. If his total income for the two investments is $194, how much money did h

Question 824629: Solve this problem by using a two order system.
A man invests $5,200, part at 4% and the balance at 3%. If his total income for the two investments is $194, how much money did he invest at each rate?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
A man invests $5,200, part at 4% and the balance at 3%. If his total income for the two investments is $194, how much money did he invest at each rate?
.
Let x = amount ($) invested at 4%
then
5200-x = amount ($) invested at 3%
.
.04x + .03(5200-x) = 194
.04x + 156-.03x = 194
.01x + 156 = 194
.01x = 38
x = $3800 (amount invested at 4%)
.
amount invested at 3%:
5200-3800 = $1400
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