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10) Yellowstone National Park 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 6 vans and 8 buses with 420 students. High School B rented and filled
12 vans and 11 buses with 600 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.

Respuesta :

saraalvi00

Answer:

b = 48

v = 6

Step-by-step explanation:

Equations:

6v + 8b = 420students

12v + 11b = 600students

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Modify for elimination::

12v + 16b = 840

12v + 111b = 600

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Subtract and solve for "b"::

5b = 240

b = 48 (# of students in each bus)

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Solve for "v"::

6v + 8b = 420

6v + 8*48 = 420

6v = 420-384

6v=36

v = 6 (# of students in each van)

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For Check

12(6)+11(48)=600

72+528=600

600=600

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