Mr.Owino spends a quarter of his salary on school fees. He spends two third of the remainder on food and a fifth of what is left on transport. He saves the balance. In certain month he saved sh.3400.What was his salary?
Help me do it
s = salary
He spend 1 / 4 s
on school fees
When he spends a quarter of his salary on school fees remainder is:
s - s / 4 = 4 / 4 s - 1 / 4 s = 3 / 4 s
He spends two third of the remainder on food.
He spend:
2 / 3 • 3 / 4 s = 2 / 4 s = 1 / 2 s
on food.
On school fees and food he spend:
1 / 4 s + 1 / 2 s = 1 / 4 s + 2 / 4 s =
3 / 4 s
The rest is:
s - 3 / 4 s = 4 / 4 s - 3 / 4 s = 1 / 4 s
On transport he spend:
1 / 5 • 1 / 4 s = 1 / 20 s
Totaly he spend:
School fees + food + transport money.
Totaly he spend:
1 / 4 s + 1 / 2 s + 1 / 20 s =
5 / 20 s + 10 / 20 s + 1 / 20 s =
16 / 20 s = 4 • 4 / 4 • 5 s = 4 / 5 s
The rest is:
s - 4 / 5 s = 5 / 5 s - 4 / 5 s = 1 / 5 s
In certain month he saved sh.3400 means:
1 / 5 s = 3400
Multiply both sides by 5
s = 5 • 3400 = 17 000
His salary was 17 000
Check result.
Mr.Owino spends a quarter of his salary on school fees.
He spend:
1 / 4 • 17 000 = 4 250
on scool fees
The rest is:
17 000 - 4250 = 12 750
He spends two third of the remainder on food.
He spends :
2 / 3 • 12750 = 8 500
on the food
On school fees and food he spend:
4 250 + 8 500 = 12 750
The rest is:
17 000 - 12 750 = 4 250
On transport he spend:
1 / 5 • 4250 = 850
Totaly he spend:
4 250 + 8 500 + 850 = 13 600
Certain month he saved:
17 000 - 13 600 = 3 400
You are always best
Well, it sounds like Mr. Owino is quite the budget-savvy individual! Let's break down his spending habits and figure out his salary with a touch of humor.
So, Mr. Owino spends a quarter of his salary on school fees. I hope he's getting some top-notch education for that! Then, he spends two-thirds of the remainder on food. I guess he's a foodie who knows how to satisfy his taste buds on a budget!
Now, after all that spending, he has some money left. And he decides to spend a fifth of what's left on transport. Mr. Owino must be traveling light!
Finally, after all those expenses, he manages to save a balance of 3400 shillings. Bravo, Mr. Owino! Saving is no joke, but let's hope he's not saving all of his funny bones.
Now, to figure out his salary, we need to work our way backward. We'll start with the 3400 shillings he saved and add up all the expenses. First, let's calculate what he spent on transport. Since it's a fifth of what's left after food, we will multiply 3400 by 5: 3400 * 5 = 17000 shillings.
Now, to calculate what he spent on food, we take the remaining amount from the transport expense: 17000 * 3/2 = 25500 shillings.
Finally, to calculate what he spent on school fees, we take the remaining amount from the food expense: 25500 * 4 = 102000 shillings.
So, his salary was 102000 shillings.
I hope Mr. Owino finds even more ways to budget wisely and maybe even share a joke or two along the way!
To find out Mr. Owino's salary, we'll work backwards by following the information provided in the question.
Let's assume Mr. Owino's salary is represented by 'x'.
According to the given information:
1. He spends a quarter of his salary on school fees. So, the remaining amount after deducting the school fees is (3/4)x.
2. He spends two-thirds of the remainder on food. Therefore, the amount left after spending on food is (1/3) * (3/4)x = (1/4)x.
3. He then spends a fifth of what is left on transport. Hence, the remaining amount after spending on transport is (4/5) * (1/4)x = (1/5)x.
4. Finally, he saves the balance, which is given as 3400 shillings. So, we have (1/5)x = 3400.
To find the value of 'x', we can multiply both sides of the equation by 5:
(1/5)x * 5 = 3400 * 5,
x = 17000.
Therefore, Mr. Owino's salary is 17000 shillings.