Final answer:
The total number of employees in the company can be found by calculating the number of nonunion members using the given ratio of 5 to 6, and then adding it to the number of union members. With 130 union members, the calculation results in 156 nonunion members, so the total number of employees is 286.
Step-by-step explanation:
The ratio of union members to nonunion members in a company is 5 to 6. If there are 130 union members working for the company, we can calculate the total number of employees by first finding the number of nonunion members and then adding it to the number of union members. We will set up a ratio equation where 5x = number of union members and 6x = number of nonunion members, with x being a shared multiplier.
Since there are 130 union members, we write the equation 5x = 130 and solve for x, which gives us x = 130 / 5. This results in x = 26. We then calculate the total number of employees by multiplying the nonunion member part of the ratio, which is 6, by the multiplier x (6 * 26) to get the number of nonunion members, and then we add the number of union members.
So there are 6 * 26 = 156 nonunion members. To find the total number of employees, we add the union members (130) and nonunion members (156), giving a sum of 286.
Therefore, the total number of employees in the company is 286.