The senior classes at High School A and High School B planned separate trips to Yellowstone National Park. The senior class at High School A rented and filled 12 vans and 5 buses with 269 students. High School B rented and filled 4 vans and 1 bus with 73 students. Every van had the same number of students in it as did the buses. How many students can a van carry? How many students can a bus carry?

Number of students in each van = 18

Number of students in each bus = 53

Step-by-step explanation:

Given: The senior class at High School A rented and filled 2 vans  and 7 buses with 407 students.

High School B rented and filled 1 van and 7 buses with  389 students.

Also, every van and the van had the same number of students in it.

Solution:

Let x denotes number of students in each van and y denotes number of students in each bus.

According to the given information,

From (ii), put  in (i)

Put  in

Number of students in each van = 18

Number of students in each bus = 53

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step-by-step explanation: