SOLUTION: Vern invested $11,000. Part was invested at 15% and part at 13%. If the total interest at the end of the year is $1,610, how much did he invest at 15%?

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Question 37442: Vern invested $11,000. Part was invested at 15% and part at 13%. If the total interest at the end of the year is $1,610, how much did he invest at 15%?
Answer by wuwei96815(245) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the part invested at 13% and $11,000-x = the part invested at 15%.

Then:
13%x + 15%($11,000-x) = $1,610
0.13x + 0.15(11,000-x) = 1,610
0.13x + 1,650 -0.15x = 1,610
-0.02x = -40
x = $2,000
$11,000 -x = $9,000

The answer is that $2,000 was invested at 13% and $9,000 was invested at 15%.