SOLUTION: An investor has $7000 to invest in two accounts. The first account earns 6% annual simple interest, and the second account earns 10% annual simple interest. How much money should b

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Question 679898: An investor has $7000 to invest in two accounts. The first account earns 6% annual simple interest, and the second account earns 10% annual simple interest. How much money should be invested in each account so that the annual simple interest earned is $900? (If not possible, enter IMPOSSIBLE.)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = amount invested at 6%
Let +b+ = amount invested at 10%
given:
(1) +a+%2B+b+=+7000+
(2) +.06a+%2B+.1b+=+900+
---------------------
(2) +6a+%2B+10b+=+90000+
Multiply both sides of (1) by +6+
and subtract (1) from (2)
(2) +6a+%2B+10b+=+90000+
(1) +-6a+-+6b+=+-42000+
+4b+=+48000+
+b+=+12000+
and
(1) +a+%2B+12000+=+7000+
(1) +a+=+-5000+
It is impossible.
Even if the investor got 10% from both accounts,
the interest would only be $700