Question

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.

Answer 1

Answer:

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Equations:

8v + 8b = 240

4v + b = 54

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Modify:

8v + 8b = 240

8v + 2b = 108

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Subtract and solve for "b":

6b = 132

b = 22 (# of students in each bus)

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Solve for "v":

4v + b = 54

4v + 22 = 54

4v = 32

v = 8 (# of students in each van)

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