mr. kebu spends 1/8 of his monthly salary in school fees and a third of the remainder on rent. he spends 3/4 of what remained after paying school fees and rent on food. if he remains with 1470 calculate his monthly salary
Monthly salary = $X.
x - x/8 = $7x/8 = Bal. after school fees.
7x/8 - 1/3(7x/8) = 7x/8 - 7x/24 = 21x/24 - 7x/24 = 14x/24 = $7x/12 = Bal. after school fees and rent.
7x/12 = 1470.
X = ?
A student spends 3/8 of her money on food 1/6 on book and 2/5 on rent. What fraction of her money is left to spend on other things?
1470 = [s - (s / 8) - (7s / 24)] / 4
solve for s (salary)
To find Mr. Kebu's monthly salary, we need to work backwards and calculate the amount of money remaining after each expenditure.
Let's denote Mr. Kebu's monthly salary as "S".
1. First, we find the amount he spends on school fees: 1/8 * S.
2. The remainder after school fees is paid is: S - (1/8 * S) = 7/8 * S.
Next, we determine how much Mr. Kebu spends on rent:
3. He spends a third of the remainder on rent: (1/3) * (7/8 * S) = 7/24 * S.
4. The remaining amount after rent is paid is: (7/8 * S) - (7/24 * S) = (21/24 * S) - (7/24 * S) = 14/24 * S = 7/12 * S.
Now, let's find out how much is left after he spends on food:
5. Mr. Kebu spends 3/4 of what remains after paying school fees and rent on food: (3/4) * (7/12 * S) = 21/48 * S = 7/16 * S.
6. The remaining amount after spending on food is: (7/12 * S) - (7/16 * S) = (28/48 * S) - (21/48 * S) = 7/48 * S.
Given that there is 1470 remaining, we equate it to the amount left after food:
7/48 * S = 1470.
To find S, we multiply both sides by 48/7:
S = 1470 * (48/7) ≈ 9800.
Therefore, Mr. Kebu's monthly salary is approximately 9800 units.