Micheal gave 1/12 of his money to Sally and 1/5 of his remaining money to Heidi. If he still had $704, how much money did he have originally?

The answer is $960

I was told to take the fraction of what was left and multiply it by what Heidi took: 1/12 + (11/12 x 1/5) = 11/60
11/60 x $704 = $187
$187 + $704 = $891
Not sure where I went wrong since I am getting the wrong answer

1 answer

(4/5)(m-m/12) = 704
(4/5)(11/12)m = 704
11/15 m = 704
m = 704 * 15/11
m = 960