SOLUTION: Last year Sarah had $20,000 to invest she invested some an account that paid 9% simple interest rate per year and she invested the rest and account that pay 10% simple interest rat

Algebra ->  Test -> SOLUTION: Last year Sarah had $20,000 to invest she invested some an account that paid 9% simple interest rate per year and she invested the rest and account that pay 10% simple interest rat      Log On


   



Question 1024352: Last year Sarah had $20,000 to invest she invested some an account that paid 9% simple interest rate per year and she invested the rest and account that pay 10% simple interest rate per year after one year she received a total of $1,840 how much did she invest in each account
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount she invested at 9%
+20000+-+x+ = amount she invested at 10%
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+.09x+%2B+.1%2A%28+20000+-+x+%29+=+1840+
+.09x+%2B+2000+-+.1x+=+1840+%7D%7D%7C%7D%0D%0A%7B%7B%7B+.01x+=+2000+-+1840+
+.01x+=+160+
+x+=+16000+
and
+20000+-+x+=+20000+-+16000+
+20000+-+x+=+4000+
She invested $16,000 @ 9%
She invested $4,000 @ 10%
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check:
+.09x+%2B+.1%2A%28+20000+-+x+%29+=+1840+
+.09%2A16000+%2B+.1%2A4000+=+1840+
+1440+%2B+400+=+1840+
+1840+=+1840+
OK