Question

Theodore invests a total of $12,500 in two accounts. the first account earned a rate of return of 11% (after a year). however, the second account suffered a 2% loss in the same time period. at the end of one year, the total amount of money gained was $140.00. how much was invested into each account?

Answer 1

Total amount was a surplus of 140 = 
Let X be first acc, Y be 2nd Acc. 
X + Y = 12500
11%X-2%Y= 140
11X-2Y=14000
13X= 39000
X=3000
Y=9500