shyialg8
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pls help

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 I 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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sqdancefan

Answer:

  • van: 8
  • bus: 22

Step-by-step explanation:

If we let v and b represent the seating capacity of vans and buses, respectively, then the two trips can be described by ...

  8v +8b = 240

  4v +b = 54

Dividing the first equation by 8 gives ...

  v +b = 30

Subtracting that from the second equation gives ...

  3v = 24

  v = 8 . . . . . . . . . . . divide by 3

  b = 30 -8 = 22

The number of students in each van is 8; the number in each bus is 22.

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