An investment firm recommends that a client invest in bonds rated AAA, A$,$ and B$.$ The average yield on AAA bonds is $5\%,$ on A bonds $7\%,$ and on $B$ bonds

$12\%.$ The client wants to invest twice as much in AAA bonds as in B bonds. How much should be invested in each type of bond if the total investment is

$$28,000,$ and the investor wants an annual return of $$2,020$ on the three investments?

The client should invest $${?}_{}$inAAAbonds,$${?}_{}$inA bonds, and $${?}_{i}nB$ bonds.