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suppose albers elementary school has 45 teachers and bothel elementary school has 20 teachers. if the total number of teachers at albers and bothel combined is 51, how many teachers teach at both schools?

Respuesta :

In linear equation, 14 teachers teach at both schools.

What in mathematics is a linear equation?

  • A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
  • The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
  • a first-degree algebraic equation with the variables y = 4x + 3 or some similar expression (that is, raised only to the first power).
  • Such an equation has a straight line for its graph.

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.

Learn more about linear equation

brainly.com/question/11897796

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