SOLUTION: larry Mitchel invested $22,000 advance at 6% annual simple interest and the rest at 2% annual simple interest. if his total yearly interest from both accounts was $1,120 finds the

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Question 1015581: larry Mitchel invested $22,000 advance at 6% annual simple interest and the rest at 2% annual simple interest. if his total yearly interest from both accounts was $1,120 finds the amount invested at each rate
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = amount invested @ 6%
Let +b+ = amount invested @ 2%
-----------------------------
(1) +a+%2B+b+=+22000+
(2) +.06a+%2B+.02b+=+1120+
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(2) +6a+%2B+2b+=+112000+
(2) +3a+%2B+b+=+56000+
Subtract (1) from (2)
(2) +3a+%2B+b+=+56000+
(1) +-a+-+b+=+-22000+
---------------------
+2a+=+34000+
+a+=+17000+
and
(1) +a+%2B+b+=+22000+
(1) +17000+%2B+b+=+22000+
(1) +b+=+5000+
------------------
$17,000 is invested @ 6%
$5,000 is invested @ 2%
check:
(2) +.06a+%2B+.02b+=+1120+
(2) +.06%2A17000+%2B+.02%2A5000+=+1120+
(2) +1020+%2B+100+=+1120+
(2) +1120+=+1120+
OK