Alan invests a total of ​$11,000 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...

Alan invests a total of ​$11,000 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 $890. How much did he invest in each​ way?