Asked by Shem
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?
Answers
Answered by
Shem
Help me do it
Answered by
Shem
You are always best
Answered by
Bosnian
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