SOLUTION: please help me i been working on this problem for 1 hour and i cant get the solution. david invested 10,000, part at 4% and part at 5% simple inerest for a period of 1 year. How

Question 230536: please help me i been working on this problem for 1 hour and i cant get the solution.
david invested 10,000, part at 4% and part at 5% simple inerest for a period of 1 year. How much was invested in each account if the intererest earned in the 5% account was 320 greater than the interest earn in the 4% account.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
david invested 10,000, part at 4% and part at 5% simple inerest for a period of 1 year. How much was invested in each account if the intererest earned in the 5% account was 320 greater than the interest earn in the 4% account.
.
Let x = amount invested at 4%
then
10000-x = amount invested at 5%
.
.05(10000-x) = .04x + 320
500-.05x = .04x + 320
500 = .09x + 320
180 = .09x
2000 = x (amount invested at 4%)
.
Amount invested at 5%:
10000-x = 10000-2000 = 8000

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