For the past year Frank had a total of $1200 divided up into 3 different savings accounts, each one paying simple interest (one at 4%, a second at 5%, and a third at 6%). The total interest for the year was %56.00. The amount invested at 5% was $20 less than twice the amount invested at 6%. How much amount in each account?

Solution:

4% account:1200-x-(2x-20)

5% account:2x-20

6% account:x

So

4%(1220-3x)+5%(2x-20)+6%x=56

So

x = 205

So

4% account:$605

5% account:$390

6% account:$205