Class A rented and filled 11 vans and 4 buses with 289 students. School B rented and filled 7 vans and 12 buses with 581 students. How many students can the can carry? How many students can the bus carry

Answer: Van = 198 students

bus = 672 students

Step-by-step explanation:

Let x represent the number of students in the vans and y represent the number of students in the buses, then from the first statement, we have

11x + 4y = 289 ... equation 1

From the second statement, we also have

7x + 12y = 581 ... equation 2

Combining the two equations together and solving simultaneously, we have

x = 11 and y = 42

therefore the number of students vans can carry will be'

11x + 7x

= 11 (11) + 7 (11)

= 121 + 77

= 198

The number of students buses will carry will be

4y + 12y

= 4 (42) + 12 (42)

= 168 + 504

= 672