Kofi spent 2/11 of his monthly salary on food , 3/8 of the remainder on rent and 1/4 of what still remained on books. If he still has 200 Ghana cedis left. What is Kofi's salary per month.
Let's start by finding out how much money Kofi had left after spending 2/11 of his salary on food.
If the amount he had left after spending 2/11 on food is represented by x, then the equation becomes x*(1 - 2/11) = x*(9/11) = 9x/11.
He then spent 3/8 of the remaining amount on rent, so the equation becomes (9x/11)*(1 - 3/8) = (9x/11)*(5/8) = 45x/88.
Finally, he spent 1/4 of the remaining amount on books, so the equation becomes (45x/88)*(1 - 1/4) = (45x/88)*(3/4) = 135x/352.
After all these expenses, he had 200 cedis left, so the equation becomes 135x/352 - 200 = 0.
To find x, we can multiply both sides of the equation by 352: 135x - 200*352 = 0.
Which can be simplified to 135x - 70400 = 0.
Adding 70400 to both sides of the equation: 135x = 70400.
Dividing both sides of the equation by 135: x = 70400/135 = 521.481.
Therefore, Kofi's monthly salary is approximately 521.481 Ghana cedis.
Kofi spent 2/11 of his monthly salary on food , 3/8 of the remainder on rent and 1/4 of what still remains on books. If he still has 200 Ghana cedis left. What is Kofi's salary per month.
Let's represent Kofi's monthly salary as 'S'.
Kofi spent 2/11 of his salary on food, so the amount spent on food is (2/11) * S = (2S)/11.
The remainder after spending on food is (S - (2S)/11) = (9S)/11.
Kofi spent 3/8 of the remainder on rent, so the amount spent on rent is (3/8) * (9S)/11 = (27S)/88.
The amount that remains after spending on rent is ((9S)/11 - (27S)/88).
Kofi spent 1/4 of what still remains on books, so the amount spent on books is (1/4) * ((9S)/11 - (27S)/88) = (9S)/44 - (27S)/352 = (99S - 27S)/352 = (72S)/352.
The amount that remains after spending on books is ((9S)/11 - (27S)/88) - (72S)/352 = (72S - 27S - 72S)/352 = (-27S)/352.
Given that Kofi has 200 Ghana cedis left, we can equate the remaining amount to 200:
(-27S)/352 = 200.
Multiplying both sides of the equation by 352:
-27S = 200 * 352.
-27S = 70400.
Dividing both sides of the equation by -27:
S = -70400 / 27.
Therefore, Kofi's monthly salary is approximately -2607.41 Ghana cedis.
Let's assume Kofi's monthly salary is "S" Ghana cedis.
Step 1: Kofi spent 2/11 of his salary on food, which is (2/11)S.
After this expense, the remainder is (1 - 2/11)S = (9/11)S.
Step 2: Kofi then spent 3/8 of the remainder on rent, which is (3/8)*(9/11)S = (27/88)S.
After this expense, the new remainder is (9/11)S - (27/88)S = (171/88)S.
Step 3: Kofi then spent 1/4 of what still remained on books, which is (1/4)*(171/88)S = (171/352)S.
After this expense, the new remainder is (171/88)S - (171/352)S = (133/352)S.
Given that there is 200 Ghana cedis left, we can set up the following equation:
(133/352)S = 200
To find S, we can solve this equation:
S = (200 * 352) / 133
S ≈ 528.82
Therefore, Kofi's salary per month is approximately 528.82 Ghana cedis.