Question

Let x be the seats in the small van and y the seats in the large van. how many seats does the large van have?

Answer 1

Given: 2 vans
let van 1 seats = x
let van 2 seats = y = x + 6

 Total # trips larger = 1 trip
 total # trips small = 2 trips
  max # people = 57 each
 
2x + y = 57
 2x + (x + 6) = 57
  3x = 51
 x = 51/3 = 17 people
 
y = x + 6 = 17 + 6 = 23 people
 
check: 2x + y = 57 2(17) + 23 = 34 + 23 = 57

Thus, the small van can carry 17 passengers the large van can carry 23 passengers