SOLUTION: A woman invested 4 times as much at 5% as she did at 6%. The total amount of interest she earns in 1 year from both accounts is $520. How much did she invest at each rate?

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Question 417466: A woman invested 4 times as much at 5% as she did at 6%. The total amount of interest she earns in 1 year from both accounts is $520. How much did she invest at each rate?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = amount invested @ 6%
given:
4x = amount invested @ 5%
-------------------------
.06x+%2B+.05%2A%284x%29+=+525
.06x+%2B+.2x+=+525
.26x+=+525
x+=+2019.23
4x+=+8076.92
She invested $2019.23 @ 6%
She invested $8076.92 @ 5%
check answer:
.06x+%2B+.05%2A%284x%29+=+525
.06%2A2019.23+%2B+.05%2A%288076.92%29+=+525
+121.15+%2B+403.85+=+525
+524.996+=+525 (close enough)