IDNLearn.com offers expert insights and community wisdom to answer your queries. Discover in-depth and reliable answers to all your questions from our knowledgeable community members who are always ready to assist.
Sagot :
Given:
Albers Elementary School has 26 teachers
Bothel Elementary School has 14 teachers
And the total number of teachers at Albers and Bothel combined is 27
Note, there a number of teachers working at both schools
We will let the following:
The number of teachers at Albers = x
The number of teachers at Bothel = y
The number of teachers at both = z
So, we can write the following system of equations:
x + z = 26 ⇒ (1)
y + z = 14 ⇒ (2)
x + y + z = 27 ⇒ (3)
Solving the system of equations to find x, y, and z
From (1) ⇒ x = 26 - z
From (2) ⇒ y = 14 - z
Substitute with (x) and (y) into equation (3)
[tex]\begin{gathered} (26-z)+(14-z)+z=27 \\ -z-z+z=27-14-26 \\ -z=-13 \\ z=13 \end{gathered}[/tex]So, the answer will be
The number of teachers teach at both schools = 13
We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.
