# Unions now

The plant has 1,250 employees. The Trade Unions (former ROH, OH) is 18% male, 23% female. Plant management reported that in the trade union is 20% of all employees. How many men and women are in plant and how many are men and women in trade unions?

Correct result:

a =  135
b =  115
m =  750
w =  500

#### Solution:

m+w = 1250
a + b = 0.20 • 1250
a=0.18 m
b =0.23w

m+w = 1250
a + b = 0.20 • 1250
a=0.18•m
b =0.23•w

m+w = 1250
a+b = 250
a-0.18m = 0
b-0.23w = 0

a = 135
b = 115
m = 750
w = 500

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