SOLUTION: Jack invests $1500 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. If he receives a total of $255 interest in 1 y

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Question 660160: Jack invests $1500 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. If he receives a total of $255 interest in 1 year, at what rate is the $1500 invested?
I've tried the r= interest/Pt and it didn't work. Im not sure what to do with the 2000 at an annual rate that is on half percent higher

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +r+ = rate that $1500 is invested at
+r+%2B+.005+ = rate that $2000 is invested at
given:
+1500r+%2B+2000%2A%28+r+%2B+.005+%29+=+255+
+1500r+%2B+2000r+%2B+10+=+255+
+3500r+=+245+
+r+=+245+%2F+3500+
+r+=+.07+
$1500 is invested at 7%
check:
+1500r+%2B+2000%2A%28+r+%2B+.005+%29+=+255+
+1500%2A.07+%2B+2000%2A.075+=+255+
+105+%2B+150+=+255+
+255+=+255+
OK