An investment firm recommends that a client invest in bonds rated AAA, A, and B. The average yield on AAA bonds is \( 4 \% \), on A bonds \( 6 \% \), and on B bonds \( 11 \% \). 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 \( \$ 24,000 \), and the investor wants an annual return of \( \$ 1,490 \) on the three investments? The client should invest \( \$ \) in AAA bonds, \( \$ \) in A bonds, and \( \$ \) in B bonds.