280 folders are distributed among 50 employees of an office such that each male gets 5 folders and each female gets 8 folders. How many male are there in the office? Just Answer no explanation
Answers
Answer:
5.6
Step-by-step explanation:
Given:
280 folders are distributed among 50 employees of an office such that each male gets 5 folders and each female gets 8 folders. How many males are there in the office?
To find:
How many males are there in the office?
Solution:
Let's say,
"m" → represents the no. of males
"f" → represents the no. of females
The total no. of employees = 50
So, we can form the equation as,
m + f = 50 . . . (1)
280 folders are distributed in the office in such a way that each male gets 5 folders and each female gets 8 folders, so, we can form the equation as,
5m + 8f = 280 . . . (2)
On multiplying equation (1) by 8, we get
8m + 8f = 400 . . . (3)
Now, on subtracting equation (2) from (3), we get
8m + 8f = 400
5m + 8f = 280
- - -
----------------------
3m = 120
----------------------
∴ m = = 40
Thus, there are 40 males in the office.
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