Three groups

The company's employees are divided into three groups. The average salary of the first group, which includes 12% of the company's total number of employees, is CZK 40,000; in the second group, CZK 35,000; and in the third group, CZK 25,000. The average salary of all company employees is CZK 33,000.
How many percent of employees are in the third group?

Correct answer:

p3 =  26 %

Step-by-step explanation:

p1=12 % p2 = 100  p1p3  40000   p1 100n + 35000   p2 100n + 25000   p3 100n = 33000 (p1+p2+p3) 100n 40000   p1 + 35000   p2 + 25000   p3 = 33000 (p1+p2+p3)  40000 p1+35000 (100p1p3)+25000 p3=33000 (p1+(100p1p3)+p3) 40000 12+35000 (10012p3)+25000 p3=33000 (12+(10012p3)+p3)  10000p3=260000  p3=10000260000=26=26%  p3=26   Verifying Solution:  p2=100p1p3=1001226=62 %



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