SOLUTION: I do not understand how to solve this word problem. "Joe plans to invest some money at 5% interest and $2000 more than that amount at 6%. His annual interest from the two investmen

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Question 778177: I do not understand how to solve this word problem. "Joe plans to invest some money at 5% interest and $2000 more than that amount at 6%. His annual interest from the two investments totaled was $670. How much did she invest at each rate?" I typed that word for word... Yes, later on in the equation Joe becomes a female.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = amount invested @ 5%
+x+%2B+2000+ = amount invested @ 6%
His annual interest is:
++.05x+%2B+.06%2A%28+x+%2B+2000+%29+=+670+
++.05x+%2B+.06x+%2B+120+=+670+
++.11x+=+550+
+x+=+5000+
+x+%2B+2000+=+7000+
$5,000 was invested @ 5%
$7,000 invested @ 6%
-------------------
check:
++.05x+%2B+.06%2A%28+x+%2B+2000+%29+=+670+
++.05%2A5000+%2B+.06%2A7000+=+670+
+250+%2B+420+=+670+
+670+=+670+
OK
Still not enough for a sex change