solving story problems

Question

I can't remember how to set it up for the answers.

An accountant invests part of a $6000 bonus in a 5% simple interest account and invests the remainder of the money at 8.5% simple interest. Together the investments earn $370 per year. Find the amount invested at each rate.

Answer 1

For simple interest:

 

Interest = Principle*Rate*Time

 

Let x = the amount invested at 6%.  Since $6000 in total is invested, the amount invested at 8.5% is $6000-x.

 

Total Interest = Interest earned at 6% + Interest earned at 8.5%

 

$370 = (x)*(0.06)*(1 year) + ($6000-x)*(0.085)*(1 year)

$370 = 0.06x + $510 - 0.085x

 

Can you solve it from here?