SOLUTION: An investment of 10,800 is deposited into two simple interest accounts. On one account the annual simple interest rate is 11.2%. On the other, the annual simple interest rate is 14

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Question 672468: An investment of 10,800 is deposited into two simple interest accounts. On one account the annual simple interest rate is 11.2%. On the other, the annual simple interest rate is 14%. How much should be invested in each account so that the interest earned is the same?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = amount invested @ 11.2%
Let +b+ = amount invested @ 14%
given:
(1) +a+%2B+b+=+10800+
(2) +.112a+=+.14b+
-------------------
(2) +112a+=+140b+
(2) +a+=+%28140%2F112%29%2Ab+
(2) +a+=+1.25b+
Substitute this result into (1)
(1) +1.25b+%2B+b+=+10800+
(1) +2.25b+=+10800+
(1) +b+=+4800+
and, since
(1) +a+%2B+b+=+10800+
(1) +a+%2B+4800+=+10800+
(1) +a+=+6000+
$6,000 should be invested @ 11.2%
$4,800 should be invested @ 14%
check:
(2) +.112a+=+.14b+
(2) +.112%2A6000+=+.14%2A4800+
(2) +672+=+672+
OK