The senior classes at High School A and High School B planned separate trips to the state fair. The senior class at High School A rented and filled 10 vans and 6 buses with 276 students. High school B rented and filled 5 vans and 2 buses with 117 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?

Question

Mathematics

Keenan Guzman

8 February, 02:13

The senior classes at High School A and High School B planned separate trips to the state fair. The senior class at High School A rented and filled 10 vans and 6 buses with 276 students. High school B rented and filled 5 vans and 2 buses with 117 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?

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Answers (1)

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Foxy · Answer 1

So from the situation you can set up a set of equation:

10v+6b=276

5v+2b=117

I will first solve for b

10v+4b=234

2b=42

Each bus holds 21 students.

5v+42=117

5v=75

v=25

In conclusion, each van holds 25 students and bus holds 21 students