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?
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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
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
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