SOLUTION: An executive invested $18,000 in two accounts, one a cash on reserve that yielded 7% simple interest, and the other a long-term certificate paying 11% simple interest. At the end o

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: An executive invested $18,000 in two accounts, one a cash on reserve that yielded 7% simple interest, and the other a long-term certificate paying 11% simple interest. At the end o      Log On

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Question 397195: An executive invested $18,000 in two accounts, one a cash on reserve that yielded 7% simple interest, and the other a long-term certificate paying 11% simple interest. At the end of one year, the two accounts had earned her a total of $1540. How much had she invested in each account?” How do i set this up as an algebra equation?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = amount invested @ 7%
Let b = amount invested @ 11%
given:
(1) .07a+%2B+.11b+=+1540
(2) a+%2B+b+=+18000
----------------------
Multiply both sides of (1) by 100
(1) 7a+%2B+11b+=+154000
Multiply both sides of (2) by 7
and subtract (2) from (1)
(1) 7a+%2B+11b+=+154000
(2) -7a+-+7b+=+-126000
4b+=+28000
b+=+7000
and, from (2),
a+%2B+7000+=+18000
a+=+11000
$11,000 was invested @ 7%
$7,000 was invested @ 11%