A man spent 2/11 of his monthly salary on food, 3/8 of the remainder on rent and 1/9 of what still remaind on books. If he still had $200 left, find his salary per month.

Answer 1

2/11 spent on food leaves 9/11
3/8 * 9/11 = 27/88 spent on rent ... 2/11 + 27/88 = 43/88, leaving 45/88
1/9 * 45/88 = 5/88 spent on books ... 43/88 + 5/88 = 6/11, leaving 5/11
So, if the salary is x, then
5/11 x = 200
and now just finish it off
check your answer to be sure it works.

Answer 2

1 - 2/11 = 11/11-2/11 = 9/11 remaining.
Rent = 3/8 * 9/11 = 27/88.
Bal. =5/8 * 9/11= 45/88.
Books = 1/9 * 45/88 = 5/88.
Bal. = 8/9 * 45/88 = 40/88 = 5/11.
5x/11 = 200.
5x = 2200
X = $440.

Answer 3

Is what still remain equal to one?