Solve the problem by writing and solving a suitable system of equations.Alan invests a total of $20,500 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 $1645. How much did he invest in each way?
A. mutual fund: $7600; bond: $9100: bank: $3800
B. mutual fund: $6400; bond: $10,900: bank: $3200
C. mutual fund: $7000; bond: $11,000: bank: $3500
D. mutual fund: $7000; bond: $10,000: bank: $3500
Answer: D
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