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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. 

 

 

 

The table shows the values for f(x) and g(x). What is the solution to f(x) = g(x)? 

 

Guest Jan 26, 2018
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V=Van

B=Bus

 

8V + 8B = 240.........................(1)   

4V + B =54.............................(2)

 

From (2) above, we have:

B = 54 - 4V sub this into (1) above

8V + 8[54 - 4V] = 240

8V + 432 - 32V = 240

- 24V = - 192

V = 8 - Number of students in each Van

Sub this into (2) above:

[4x8] + B = 54

B = 22 - Number of students in each Bus.

Guest Jan 26, 2018
edited by Guest  Jan 26, 2018

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