The mean salary for the 20 workers in company A is $90 per week, whereas in company B the mean salary for its 30 workers is $85 per week. If the two companies merge, what is the mean salary for the 50 employees of the new company?

The mean salary for the 50 employees of the new company = $87

Step-by-step explanation:

Mean for any n set of number is \

mean = sum of n terms/ n

For company A

The mean salary for the 20 workers in company A is $90 per week,

mean = $90

n = 20

using above formula

90 = sum of salary of 20 workers/20

sum of salary of 20 workers = 90*20 = $1800

For company B

The mean salary for the 30 workers in company A is $85 per week,

mean = $85

n = 30

using above formula

85 = sum of salary of 30 workers/30

sum of salary of 30 workers = 85*30  = $2,550

If two companies merge

Total salary for all the 50 workers for both the company =

sum of salary of 20 workers in company A + sum of salary of 30 workers in company B = $1800 + $2550 = $4350

Mean salary of 50 workers will be

n= 50

mean = Total salary of 50 workers/50

mean salary of 50 workers = 4350/50 = 87

The mean salary for the 50 employees of the new company = $87