Question

You split $2000 between two savings accounts. Account a pays 2% annual interest and account b pays 5% annual interest. After one year, you have earned a total of $77.50 in interest. How much did you invest in each account?

Answer 1

0.05x+0.02(2000-x)=77.5
0.05x+40-0.02x=77.5
(0.05-0.02)x=77.5-40
0.03x=37.5
X=37.5/0.03=1250 at 2%
2000-1250=750 at 5%