Question

The senior class at high school A rented and filled 5 vans and 3 buses with 230 students. High school B rented and filled 12 vans and 1 bus with 180 students. Every van has the same number of students in it as did the buses. Find the number of students in each van and in each bus.

A. 40 students per van, 40 students per bus
B. 30 students per van, 50 students per bus
C. 45 students per van, 45 students per bus
D. 35 students per van, 55 students per bus

Answer 1

To find the number of students in each van and each bus, set up a system of equations based on the given information. Solve the system to find the number of students in each van and bus. Round the result to the nearest whole number.

Step-by-step explanation:

To find the number of students in each van and each bus, we need to set up a system of equations based on the given information.

Let x be the number of students in each van and bus.

From the information given, we know that 5 vans and 3 buses were filled with 230 students:

5x + 3x = 230

Combining like terms, we get:

8x = 230

Dividing both sides of the equation by 8, we find:

x = 28.75

Since the number of students must be a whole number, we can round x to the nearest whole number:

x = 29

Therefore, there are 29 students in each van and each bus.