1. The Senior Class of Great Ridge High School and Ann Arbor High School are planning a trip to Six Flags Theme Park. Great Ridge High school is planning to rent and fill 14 vans and 16 busses with 1152 students. Ann Arbor High School is planning to fill 10 vans and 13 buses with 925 students.

Let , capacity of vans and buses is x and y .

Great Ridge High school is planning to rent and fill 14 vans and 16 buses with 1152 students.

14x + 16y = 1152  

7x + 8y = 576     1)

Ann Arbor High School is planning to fill 10 vans and 13 buses with 925 students.

10x + 13y = 925   2)

Solving equation 1 and 2 , we get :

x = 8 and y = 65 .

Therefore , capacity of van is 8 and bus is 65 .

Hence , this is the required solution .

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