There are 221 students on a field trip.

- Five students ride in a van.
- The rest of the students fill 6 buses.

1. Enter an equation that can be solved to find the number of students, [tex]s[/tex], that are on each bus.

a) [tex]6s + 5 = 221; \quad s = 36[/tex]

b) [tex]5s + 6 = 221; \quad s = 43[/tex]

c) [tex]221 + 6s = 5; \quad s = -36[/tex]

d) [tex]5s + 1 = 221; \quad s = 44[/tex]

2. Enter the number of students that are on each bus.

To solve this problem, we need to figure out how many students are on each bus. Here's how we can break it down:

1. Total Number of Students: We start with a total of 221 students.

2. Students in the Van: 5 of these students ride in a van. Therefore, the number of students remaining to ride the buses is:

[tex]\[
221 - 5 = 216
\][/tex]

3. Buses: These remaining 216 students need to be divided equally among 6 buses. Let's use [tex]$ s $[/tex] to represent the number of students on each bus.

4. Equation: The equation representing this situation is:

[tex]\[
6s + 5 = 221
\][/tex]

This equation accounts for the 6 buses with [tex]$ s $[/tex] students each and the 5 students in the van, which together add up to the total of 221 students.

5. Solve for [tex]$ s $[/tex]: We want to isolate [tex]$ s $[/tex] to find the number of students on each bus:

[tex]\[
6s + 5 = 221
\][/tex]

Subtract 5 from both sides:

[tex]\[
6s = 216
\][/tex]

Now, divide both sides by 6 to solve for [tex]$ s $[/tex]:

[tex]\[
s = \frac{216}{6} = 36
\][/tex]

Therefore, there are 36 students on each bus.

The correct choice for the equation and the number of students per bus is:
a) [tex]$6s + 5 = 221;\ s = 36$[/tex]