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]
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]