The ratio of union members to nonunion members working for a company is 7 to 5. If there are 126 union members working for the company, what is the total number of employees?
Question
The ratio of union members to nonunion members working for a company is 7 to 5. If there are 126 union members working for the company, what is the total number of employees?
Solution
Step 1: Understand the problem. The ratio of union members to nonunion members is 7:5. This means for every 7 union members, there are 5 nonunion members.
Step 2: We know that there are 126 union members. Since the ratio of union members to nonunion members is 7:5, we can set up the equation 7/5 = 126/x, where x is the number of nonunion members.
Step 3: Solve for x. Cross multiply to get 7x = 630. Divide both sides by 7 to get x = 90. So, there are 90 nonunion members.
Step 4: To find the total number of employees, add the number of union members and nonunion members. 126 + 90 = 216.
So, the total number of employees is 216.
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