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 6%, and on B bonds 9%. 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 $21,000, and the investor wants an annual return of $1,310 on the three investments.