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?

Question

anonymous · Answer

Interest = Investment * Rate

 X = amount invested at 4%
 $5,200 - X = amount invested at 3%

 194 = 0.04X + 0.03(5,200 - X)
 194 = 0.04X + 156 - 0.03X
 38 = 0.01X
 X = 3800
 Answer:
 $3,800 is invested at 4% and $1200 is invested at 3%
 Check:
 $3,800 * 4% = $152
 $1,200 * 3% = $36
 $152 + $36 = $192