Momanyi spent one-eighth of his February salary on farming, half on school fees, and two-thirds of the remainder on food. He saved the rest of the money that remained. Calculate his February salary.

Let's assume Momanyi's February salary is x.

He spent 1/8x on farming.
He spent 1/2x on school fees.
He spent 2/3(7/8x) on food.

So, the total amount he spent is:

1/8x + 1/2x + 2/3(7/8x) = x

Combining like terms:

1/8x + 1/2x + 14/24x = x
3/24x + 12/24x + 14/24x = x
29/24x = x

Now, we can solve for x:

29x = 24x
5x = 0
x = 0

Therefore, Momanyi's February salary is 0.

Let Momanyi's February salary be x.

- He spent one-eighth of his salary on farming: x/8
- He spent half of his salary on school fees: x/2
- He spent two-thirds of the remainder on food: (x - (x/8 + x/2)) - 2/3

Let's first calculate the remainder after the first two expenses:
Remainder = x - (x/8 + x/2) = x - (3x/8) = (5x/8)

Now, we can calculate the amount spent on food:
Food = (5x/8) - 2/3 = (5x/12)

The amount saved is the remainder minus the amount spent on food:
Savings = Remainder - Food = (5x/8) - (5x/12) = (15x - 10x)/24 = (5x)/24

We know that the total amount spent on farming, school fees, food, and savings equals his salary. Therefore, we can write:

x = (x/8) + (x/2) + (5x/12) + (5x)/24

Simplifying the equation:

x = (6x + 12x + 10x + 5x)/24
x = (33x)/24
x = (11x)/8

To find the value of his February salary (x), we can solve for x:

8/11 - x = 1
x = 8/11
x = 0.7273 (rounded to four decimal places)

Therefore, Momanyi's February salary is approximately 0.7273.