SOLUTION: blake has a total of $1600 to invest in two accounts. One account earns 2% simple interest, and the othr account earns 9% simple interest. How much should be invested in both accou

Algebra ->  Equations -> SOLUTION: blake has a total of $1600 to invest in two accounts. One account earns 2% simple interest, and the othr account earns 9% simple interest. How much should be invested in both accou      Log On


   



Question 281949: blake has a total of $1600 to invest in two accounts. One account earns 2% simple interest, and the othr account earns 9% simple interest. How much should be invested in both accounts to earn exactly $102 at the end of one year?
Answer by brucewill(101) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the amount invested in the 2% account.
Then (1600-x) = the amount invested in the 9% account.
.02x+%2B+.09%281600-x%29+=+102 Multiply through by 100 to clear decimals
---
2x+%2B+9%281600-x%29+=+10200
---
2x+%2B+14400+-+9x+=+10200 add 9x to both sides, and subtract 14400 from both sides
---
-7x+=+-4200 divide both sides by -7
---
x+=+highlight%28600%29
---
amount at 2% $600; amount at 9% $1000.
$600 * 2% = $12
$1000 * 9% = $90
Total interest: $102.