For a trip, one high school rented and filled 5 vans and 6 buses with 187 students. Another high school instead fit its 176 students into 2 vans and 7 buses. With each bus and van seating the same number of students, how many students can a bus carry? How many students can a van carry?

A bus can carry 22 students and a van can carry 11 students.

Step-by-step explanation:

Let the number of students bus can carry be 'b'.

Let the number of students van can carry be 'v'.

Given:

One High school:

Number of bus = 6

Number of vans = 5

Number of students = 187

So we can say that;

Number of bus multiplied by number of students bus can carry plus Number of vans multiplied by number of students van can carry is equal to Number of students.

framing in equation form we get;

 ⇒ Equation 1

Also Given:

One High school:

Number of bus = 7

Number of vans = 2

Number of students = 176

So we can say that;

Number of bus multiplied by number of students bus can carry plus Number of vans multiplied by number of students van can carry is equal to Number of students.

framing in equation form we get;

 ⇒ Equation 2

Now multiplying equation 2 by 5  we get;

⇒ Equation 3

Now multiplying Equation 1 by 2 we get;

 ⇒ Equation 4

Subtracting equation 4 from equation 3 we get;

Substituting value of b in equation 2 we get;

Hence A bus can carry 22 students and a van can carry 11 students.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: