College

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.

Answer :

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]