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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.

1 Answer

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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




User Brian Malehorn
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