SOLUTION: Eva invested a certain amount of money at 7% interest and $1700 more than that amount at 11%. Her total yearly interest was $835. How much did she invest at each rate?

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Question 644170: Eva invested a certain amount of money at 7% interest and $1700 more than that amount at 11%. Her total yearly interest was $835. 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 at 7%
+x+%2B+1700+ = amount invested at 11%
given:
+.07x+%2B+.11%2A%28+x+%2B+1700+%29+=+835+
+.07x+%2B+.11x+%2B+187+=+835+
+.18x+=+835+-+187+
+.18x+=+648+
+x+=+3600+
+x+%2B+1700+=+5300+
She invested $3600 at 7% and $5300 at 11%
check:
+.07%2A3600+%2B+.11%2A%28+3600+%2B+1700+%29+=+835+
+252+%2B+.11%2A5300+=+835+
+252+%2B+583+=+835+
+835+=+835+
OK