#841 - Employee Count Maths Brain Teaser
A small media company got 20 employees.
The employee consists of reporters, camera-man and the writers
Every reporter earns daily $3, camera-man 1.5$ and writers earn 0.5$
How many reporters, camera-man and the writers are there?
reporters=2, camera-man=5 and the writers=13
Let the number of reporters, camera-man, and writers are denoted by r, c, and m respectively.
From the given information we can write the following 2 equations;
r + c + m = 20 . . . . . . (1)
3r + 1.5c + 0.5m = 20 . . . . . (2)
Multiplying equation (2) by 2 we get;
6r + 3c + m = 40 . . . . . (2)
equation3 - equation 1
5r + 2c = 20
The unique solution with whole numbers is r = 2 & c = 5
Therefore from equation(1) we can find;
m = 13
=> reporters=2, camera-man=5 and the writers=13