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?

1 answer:

4 0

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

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