SOLUTION: If a group takes 3 vans and 1 car, 22 students can be transported. If the group takes 2 vans and 4 cars, 28 students can be transported. How many students can fit in each van?

Algebra ->  Systems-of-equations -> SOLUTION: If a group takes 3 vans and 1 car, 22 students can be transported. If the group takes 2 vans and 4 cars, 28 students can be transported. How many students can fit in each van?       Log On


   

Question 843248: If a group takes 3 vans and 1 car, 22 students can be transported. If the group takes 2 vans and 4 cars, 28 students can be transported. How many students can fit in each van?


How do I solve this problem?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x and y represent the number that will fit in a van and car respectively

Question states***

 3x + y = 22

 2x + 4y = 28      |Solve this system of Equations to find x and y



 -12x - 4y = -88

  2x + 4y  = 28  

   -10x = -60

      x = 6, the number that will fit in a van.      

CHECKING our answer*** y = 4 will fit in a car     |Using 3x + y = 22  18%2By+=+22

Using  2x + 4y = 28   

     8 + 24 = 28

Wish You the Best in your Studies.