Solve the Problem by Writing and Solving a Suitable System $\$ 18,000$

Multiple Choice

Solve the problem by writing and solving a suitable system of equations.
-Alan invests a total of $\$ 18,000$ in three different ways. He invests one part in a mutual fund which in the first year has a return of $11 \%$ . He invests the second part in a government bond at $7 \%$ per year. The third part he puts in the bank at $5 \%$ per year. He invests twice as much in the mutual fund as in the bank. The first year Alan's investments bring a total return of $\$ 1500$ . How much did he invest in each way?

A) m utual fund: $\$ 7400$ ; bond: $\$ 6900$ : bank: $\$ 3700$
B) m utual fund: $\$ 8000$ ; bond: $\$ 6000$ : bank: $\$ 4000$
C) m utual fund: $\$ 8000$ ; bond: $\$ 7000$ : bank: $\$ 4000$
D) m utual fund: $\$ 8600$ ; bond: $\$ 5100$ : bank: $\$ 4300$