The ratio of union members to nonunion members working for a company is 2 to 3. If there are 75 nonunion members working for the company, what is the total number of employees?
The ratio of union members to nonunion members is 2 to 3, which means that for every 2 union members, there are 3 nonunion members.
Since the ratio of nonunion members to union members is 3 to 2, we can set up the equation 3/2 = 75/x, where x is the total number of employees.
To solve for x, we can cross multiply: 3x = 2 * 75.
Simplifying the equation, we have 3x = 150.
Dividing both sides by 3, we find that x = 50.
Therefore, the total number of employees is 50.
To find the total number of employees, we need to determine the number of union members working for the company.
Since the ratio of union members to nonunion members is 2 to 3, we can set up the following equation:
2/3 = x/75
To solve for x, we multiply both sides of the equation by 75:
(2/3) * 75 = (x/75) * 75
(2/3) * 75 = x
50 = x
Therefore, there are 50 union members working for the company.
To find the total number of employees, we add the number of union members and nonunion members:
Total number of employees = Number of union members + Number of nonunion members
Total number of employees = 50 (union members) + 75 (nonunion members)
Total number of employees = 125
So, the total number of employees is 125.
To find the total number of employees, we need to determine the ratio of union members to nonunion members and use that ratio to find the number of union members.
Given that the ratio of union members to nonunion members is 2 to 3, we can say that for every 2 union members, there are 3 nonunion members.
If there are 75 nonunion members working for the company, we can find the number of union members by using the ratio.
Step 1: Set up an equation based on the ratio.
Let's say there are "x" union members working for the company. The number of nonunion members is given as 75.
(Number of union members) / (Number of nonunion members) = 2/3
x / 75 = 2 / 3
Step 2: Solve for "x."
To isolate "x," we can cross-multiply.
3x = 75 * 2
Simplifying,
3x = 150
Dividing both sides of the equation by 3,
x = 150 / 3
x = 50
Therefore, there are 50 union members working for the company.
Step 3: Calculate the total number of employees.
To find the total number of employees, we add the number of union members (50) to the number of nonunion members (75).
Total number of employees = Number of union members + Number of nonunion members
= 50 + 75
= 125
Therefore, the total number of employees in the company is 125.