Question

Help Pls ASAP.

For a trip, one high school rented and filled 8 vans and 9 buses with 228 students. Another high school instead fit its 124 students into 4 vans and 5 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?

Answer 1

Both the van and the bus can seat APPROXIMATELY 13 students , however do the math and you’ll get a decimal but you can’t have a decimal of a person so you could round up to 14

Answer 2

Each bus can carry 14 students and each van can carry 6 students.

Step-by-step explanation:

Let's assume that a van can carry 'v' students.

Let's assume that a bus can carry 'b' students.

Using this notation, we can set up the following system of equations:

For the first high school:

8v + 9b = 228

For the second high school:

4v + 5b = 124

We have two equations and two unknowns, so we can solve for 'v' and 'b'.

To do this, we can start by solving the second equation for 'b':

5b = 124 - 4v

b = (124 - 4v)/5

We can substitute this expression for 'b' into the first equation:

8v + 9((124 - 4v)/5) = 228

Multiplying both sides by 5 to eliminate the fraction:

40v + 9(124 - 4v) = 1140

Distributing the 9:

40v + 1116 - 36v = 1140

Simplifying:

4v = 24

v = 6

Substituting this value of 'v' into the equation for 'b':

5b = 124 - 4(6)

b = 14

Therefore, a van can carry 6 students, and a bus can carry 14 students.

So the answer is: Each bus can carry 14 students and each van can carry 6 students.