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There are 5 times as many students as teachers on the field trip and sum of the students or teachers is 132.Find the number of students and teachers.

User Ayub Khan
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1 Answer

3 votes

ANSWER

Students = 110

Teachers = 22

Step-by-step explanation

Let the number of students be s.

Let the number of teachers be t.

There are 5 times as many students as teachers. This means that:


\begin{gathered} s=5\cdot t \\ s=5t \end{gathered}

The sum of students and teachers is 132. This means that:


s+t=132

We can solve this by substitution. To do this, substitute the first equation into the second.

That is:


\begin{gathered} 5t+t=132 \\ 6t=132 \\ \text{Divide both sides by 6:} \\ (6t)/(6)=(132)/(6) \\ t=22 \end{gathered}

Recall that:


\begin{gathered} s=5t \\ \Rightarrow s=5\cdot22 \\ s=110 \end{gathered}

Therefore, there are 110 students and 22 teachers.

User Obafemi
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