a major airline laid of 4000 pilots and flight attendants. if this was 12.5% reduction in the workforce, what was the size of the workforce after layoffs?
original workforce --- x
.125x= 4000
x = 32000
workforce after layoffs
= 32000-4000
= 28000
To find out the size of the workforce after the layoffs, we need to determine the total size of the workforce before the layoffs.
Let's assume the size of the workforce before the layoffs is represented by the variable "x."
We are given that the layoffs resulted in a 12.5% reduction in the workforce. This means that 12.5% of the workforce was laid off, which can be represented as 12.5% of x.
Mathematically, we can express this as: 12.5% of x = 4000.
To solve for x, we need to convert 12.5% to a decimal by dividing by 100: (12.5/100) * x = 4000.
Simplifying the equation gives: 0.125 * x = 4000.
To isolate x, we can divide both sides of the equation by 0.125: x = 4000 / 0.125.
Evaluating the division gives: x = 32000.
Therefore, the size of the workforce before the layoffs was 32,000.
To find the size of the workforce after the layoffs, we need to subtract the number of employees laid off (4000) from the initial size of the workforce (32,000):
Size of the workforce after layoffs = 32000 - 4000 = 28,000.
Hence, the size of the workforce after the layoffs was 28,000.
To find the size of the workforce after the layoffs, we need to calculate the total workforce before the layoffs. Let's use algebra to solve this.
Let's assume the total workforce before the layoffs is represented by the variable 'x'.
We are given that the layoffs resulted in a 12.5% reduction in the workforce. This means 12.5% of the workforce was laid off.
To calculate the number of people who were laid off, we can multiply the total workforce by 12.5% (or 0.125):
Laid off = x * 0.125
We are given that 4000 pilots and flight attendants were laid off, so we need to set this equation equal to 4000:
x * 0.125 = 4000
To find 'x', divide both sides of the equation by 0.125:
x = 4000 / 0.125
x = 32000
Therefore, the size of the workforce before the layoffs was 32,000.
To determine the size of the workforce after the layoffs, we subtract the number of people laid off (4000) from the original workforce:
Workforce after layoffs = 32,000 - 4000
Workforce after layoffs = 28,000
So, the size of the workforce after the layoffs is 28,000.