SOLUTION: Linda Smaoke invests a total of $ 10,000 in two savings accounts. One account pays 5% ​interest, and the​ other, 6%. Find the amount placed in each account if the accounts rece

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Question 1136712: Linda Smaoke invests a total of $ 10,000 in two savings accounts. One account pays 5% ​interest, and the​ other, 6%. Find the amount placed in each account if the accounts receive a total of $560 in interest after 1 year. Use interest=principal*rate*time.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +P%5B1%5D+ = amount invested @ 5%
+10000+-+P%5B1%5D+ = amount invested @ 6%
Let +I%5B1%5D+ = interest from 5% investment
+560+-+I%5B1%5D+ = interest from 6% investment
--------------------------------------------------------
(1) +I%5B1%5D+=+P%5B1%5D%2A.05+%2A1+
(2) +560+-+I%5B1%5D+=+%28+10000+-+P%5B1%5D+%29%2A.06%2A1+
--------------------------------------------------------
(1) +I%5B1%5D+=+.05P%5B1%5D+
(2) +560+-+I%5B1%5D+=+600+-+.06P%5B1%5D+
(2) +I%5B1%5D+=+.06P%5B1%5D+-+40+
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Plug (1) into (2)
(2) +.05P%5B1%5D+=+.06P%5B1%5D+-+40+
(2) +.01P%5B1%5D+=+40+
(2) +P%5B1%5D+=+4000+
and
+10000+-+P%5B1%5D+=+10000+-+4000+
+10000+-+P%5B1%5D+=+6000+
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$4,000 was invested @ 5%
$6,000 was invested @ 6%
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check:
(1) +I%5B1%5D+=+.05P%5B1%5D+
(1) +I%5B1%5D+=+.05%2A4000+
(1) +I%5B1%5D+=+200+
and
(2) +560+-+I%5B1%5D+=+.06%2A6000+
(2) +560+-+I%5B1%5D+=+360+
(2) +200+%2B+360+=+560+
OK