Question 4267
Let x = principle invested at 7% or .07
  x+1000 = principle invested at 8.5% or .085


Total interest for the year is the sum of the interest on each account, which is given by Principle * Rate for the year. 


The equation is:

 .07(x) + .085(x+1000) = 395
 .07x + .085x + 85 = 395
 .155x + 85 = 395
 .155x = 310


Divide each side by .155, which gives you
    {{{.155x/.155 = 310/.155}}}
So, x = 310/.155 = 310000/155 = $2000


x = $2000 @ 7%
x+1000 = $3000 @8.5%


Check by adding up the interest:
 .07(2000) + .085(3000) 
   140 + 170 = $310


I hope that helps


R^2 from SCC


P.S. Are you from the church school that posed problem #4130 and later commented in #4162??