A company has been forced to reduce its number of employees. Today the company has
35%
fewer employees than it did a year ago. If there are currently
169
employees, how many employees did the company have a year ago?
Let x be the number of employees the company had a year ago.
According to the problem, the company currently has 35% fewer employees than it did a year ago. This means that the current number of employees is 65% of what it was a year ago.
In other words,
0.65x = 169
To solve for x, we can divide both sides by 0.65:
x = 169 / 0.65
x ≈ 260.
Therefore, the company had approximately 260 employees a year ago.
To find out how many employees the company had a year ago, we need to calculate the original number of employees.
Step 1: Calculate the reduction in the number of employees.
Given that the company currently has 169 employees and 35% fewer employees than a year ago, we can calculate the reduction as follows:
Reduction = 35% of the original number of employees
Step 2: Calculate the original number of employees.
To find the original number of employees, we need to subtract the reduction from the current number of employees, which gives us:
Original Number of Employees = Current Number of Employees + Reduction
Let's perform the calculations:
Step 1: Calculate the reduction.
Reduction = 35/100 * Original Number of Employees
Given that the current number of employees is 169, we can rewrite the equation as:
Reduction = 35/100 * Original Number of Employees = 169
Step 2: Calculate the original number of employees.
Original Number of Employees = Current Number of Employees + Reduction = 169 + (35/100 * Original Number of Employees)
We can rearrange the equation as:
Original Number of Employees - (35/100 * Original Number of Employees) = 169
Combining like terms, we get:
(100/100 - 35/100) * Original Number of Employees = 169
Simplifying the expression inside the parentheses, we have:
(65/100) * Original Number of Employees = 169
To solve for the Original Number of Employees, we divide both sides of the equation by (65/100):
Original Number of Employees = 169 / (65/100)
Dividing the numerator and denominator, we have:
Original Number of Employees = (169 * 100) / 65
Performing the calculations:
Original Number of Employees = 26,153.846
Therefore, the company had approximately 26,154 employees a year ago.