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.

Question

Stacy Levy

Mathematics

22 March, 07:48

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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Brett Hawkins · 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