SOLUTION: 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

Question 1105797: 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 by addingup(3677) (Show Source): You can put this solution on YOUR website!
Let the amount you invest at 2% be x
Then, the amount invested at 5% will be 2000 - x
So:
0.02x + 0.05(2000 - x) = 77.50
0.02x + 100 - 0.05x = 77.50
-0.03x = -22.50
x = 750 this is the amount invested at 2%
2000 - 750 = the amount at 5%
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