On Monday 316 students went on a trip to the zoo. All 6 buses were filled and 4 students had to travel in cars. write and evaluate an expression in terms of X to determine how many students were in each bus

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Answer:

The number of students on each bus is;

[tex]52[/tex]

And the expression is;

[tex]6X+4=316[/tex]

Explanation:

Let X represent the number of students on each bus.

Assuming the buses were filled with the same number of students.

Given that all 6 buses were filled and 4 students had to travel in cars.

We can write the expression as;

[tex]6X+4[/tex]

Equating to the total number of students;

[tex]6X+4=316[/tex]

Solving for X;

[tex]\begin{gathered} 6X+4=316 \\ 6X=316-4 \\ 6X=312 \\ \text{divide both sides by 6;} \\ \frac{6X}{6}=\frac{312}{6} \\ X=52 \end{gathered}[/tex]

Therefore, the number of students on each bus is;

[tex]52[/tex]

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