The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

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Mathematics

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28 September, 04:05

The state fair is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

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Isabelle Kirby · Answer 1

A - number of students in each van

b - number of students in each bus

8a+8b=240

4a+b=54 = > b=54-4a

8a+8 (54-4a) = 240

8a+432-32a=240

432-240=32a-8a

192=24a

a=192/24=8 students in each van

b=54-4*8=54-32=22 students in each bus