Answer:
The number of employees working in the night shift is 56.
Step-by-step explanation:
This problem can be solved using linear equation in one variable. In this equation, the unknown value is taken on one side of the equal sign, and the known values are taken on the other side of the equal sign.
The known values form an expression which is computed to find the unknown value.
The equation includes all the given values and variable is substituted for the unknown value, which is to be computed.
Here, the number of employees that work during the day shift is given. The fraction of employees working in night shift is given.
Total number of employees working in the night shift is to be computed. Hence, variable will be substituted for the number of employees working in the night shift.
Given that the number of employees working in the night shift is \frac{2}{5} of the number of employees working in the day shift.
The different values to be taken in the equation are as follows.
number of employees working in the day shift = 140
number of employees working in the night shift = n
The expression to find the unknown value, i.e., number of employees working in the night shift, is given below.
number of employees working in the night shift = \frac{2}{5} of the number of employees working in the day shift
The linear equation will be formed as shown.
n = 140 \times \frac{2}{5}
n = \frac{280}{5}
n = 56
Therefore, the number of employees working in the night shift is found to be 56.
The total number of employees working during both the shifts, when required, can be found out by adding the number of employees working in the day shift and the number of employees working in the night shift.
The total number of employees, overall, is 56 + 140 = 196.
