In linear equation, 14 teachers teach at both schools.
What in mathematics is a linear equation?
Let
A = Albers Elementary School
B = Bothel Elementary School
According to the question:
n(A) = 44, n(B) = 74, n(A U B) = 87.
Using the union formula we get
n(A U B ) = n(A) + n(B) - n ( A ∩ B )
51 = 45 + 20 - n ( A ∩ B )
n ( A ∩ B ) = 65 - 51
n ( A ∩ B ) = 14
So, 14 teachers teach at both schools.
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