Pat invested a total of $3,000. Part of the money was invested in a money market account that paid 10 percent simple annual interest, and the remainder of the money was invested in a fund that paid 8 percent simple annual interest. If the interest earned at the end of the first year from these investments was $256, how much did Pat invest at 10 percent and how much at 8 percent?

• Total Amount = $3000
  Let the amount Mr.Pat invests at the rate of 10% be x.
  By Simple Interest formula (x) * (1) * (0.10) = 0.1x .......(a)
  Mr.Pat invests the reminder of the amount (3000 - x) at the rate of 8%.
  That would be (3000 - x) * (1) * (0.08) = 240 - 0.08x ......(b)
  As Mr.Pat earned $256 as interest, we have to add two interests (a) and (b) and equate it to $256
  0.1x + 240 - 0.08x = 256
  0.02x = 16
  x = 800 .....This is the amount Mr.Pat invested at the rate of 10%.
  3000-x = 3000 - 800 = $2200 ......Mr.Pat invested $2200 at the rate of 8%.
  
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