Decimals, Proportions, Percents
Word problem on proportions: Problem type 2
The ratio of union members to nonunion members working for a company is 5 to 8 . If there are 192 nonunion members working for the company, what is the total number of employees?
employees
Answer
Final Answer: The total number of employees in the company is \(\boxed{312}\).
Step 1 ：The problem provides the ratio of union members to nonunion members as 5:8. This means that for every 5 union members, there are 8 nonunion members.
Step 2 ：We are given that there are 192 nonunion members. We can use the ratio to find the number of union members. The ratio of union members to nonunion members is 0.625, so we multiply this by the number of nonunion members: \(0.625 \times 192 = 120\). Therefore, there are 120 union members.
Step 3 ：The total number of employees would be the sum of the union members and nonunion members. So, we add the number of union members and nonunion members together: \(120 + 192 = 312\).
Step 4 ：Final Answer: The total number of employees in the company is \(\boxed{312}\).
