Tom spends 1/5 of his salary on food and 1/4 of it on rent and saves the rest.If she saves sh13750 ,how much does she earn?
1/5 + 1/4 = 9/20, leaving 11/20. So,
11/20 x = 13750
Now just find x
To find out how much Tom earns, we can work backwards from the given information.
Let's assume Tom's salary is "x."
Tom spends 1/5 of his salary on food, which is equal to (1/5)x.
He spends 1/4 of his salary on rent, which is equal to (1/4)x.
The amount Tom saves can be calculated by subtracting the amount he spends on food and rent from his salary:
x - ((1/5)x + (1/4)x) = x - (5/25)x - (6/25)x = x - (11/25)x
According to the information given, Tom saves sh13750. So:
x - (11/25)x = sh13750
To solve this equation, we can start by adding the like terms:
(25/25)x - (11/25)x = sh13750
Simplifying further:
(14/25)x = sh13750
Now, we can solve for x by isolating the variable:
x = (25/14) * sh13750
Evaluating the above expression will give us the amount Tom earns.