Question

the ratio of union members to nonunion members working for a company is 4 to 5. if there are employees total, 207 how many union members work for the company?

Answer 1

By dividing the total number of employees, which is 207, by the sum of the union-to-nonunion ratio parts (9 parts), we determine that one part is equivalent to 23 employees. Multiplying this by 4 parts for union members, we find that there are 92 union members in the company.

Step-by-step explanation:

Calculating Union Members in a Company

To calculate the number of union members in the company, we will use the ratio provided of 4 union members to 5 nonunion members and the total number of employees which is 207. The ratio can be thought of as 4 parts union members out of 9 total parts (since 4+5=9). Therefore, to find one part, we divide the total number of employees by the total number of parts:

Total parts = 4 (union) + 5 (nonunion) = 9 parts

One part = Total employees / Total parts = 207 / 9 = 23

Now, multiplying the 'one part' by the number of parts for union members will give us the number of union members:

Union members = One part × Number of parts for union = 23 × 4 = 92

Therefore, 92 union members are working for the company.

Answer 2

To find out the number of union members in a company with a total of 207 employees and a ratio of 4 unions to 5 nonunion members, we set up a proportion and solved to find that there are 92 union members in the company.

Step-by-step explanation:

The question asks us to find out how many union members work for a company where the ratio of union to nonunion members is 4 to 5 and there are 207 employees in total.

To solve this, we set up the following proportion:

• Union Members (U) : Nonunion Members (N) = 4 : 5
• Total employees = Union Members (U) + Nonunion Members (N) = 207

So we can express N in terms of U as N = (5/4)U, and now we can set up a simple equation:

U + N = 207

U + (5/4)U = 207

(9/4)U = 207

U = 207 * (4/9)

U = 92

Therefore, 92 union members are working for the company.