SOLUTION: Joan Arlington has twice as much money invested at​ 5% simple annual interest as she does at​ 4%. If her yearly income from the two investments is ​$357​,

Algebra ->  Finance -> SOLUTION: Joan Arlington has twice as much money invested at​ 5% simple annual interest as she does at​ 4%. If her yearly income from the two investments is ​$357​,       Log On


   



Question 1040168: Joan Arlington has twice as much money invested at​ 5% simple annual interest as she does at​ 4%. If her yearly income from the two investments is ​$357​, how much does she have at each​ rate?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount invested at 4%
+2x+ = amount invested at 5%
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+.04x+%2B+.05%2A%282x%29+=+357+
+.04x+%2B+.1x+=+357+
+.14x+=+357+
+x+=+2550+
and
+2x+=+5100+
The amount invested at 4% is $2,550
The amount invested at 5% is $5,100
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check:
+.04x+%2B+.1x+=+357+
+.04%2A2550+%2B+.1%2A2550+=+357+
+102+%2B+255+=+357+
+357+=+357+
OK