Question

a company uses two vans to transport workers from a free parking lot to the work place between 7:00 and 9:00 am one van has 6 more seats than the other. the smaller van makes two trips every morning while the larger one only takes one trip. the two vans can transport 57 people, maximum. how many seats does the large van have?

Answer 1

So first, I would assign the small van a variable for how many people it can hold, or x.

So since it makes two trips,

2x

And since the other van can hold six more people,

2x + x + 6

And 57 people are transported:

3x + 6 = 57

We can then solve.

3x = 57 - 6

3x = 51

x = 17

So since we now know a small can hold 17 people, and we know that the larger van has 6 more seats, we can just say

17 + 6 = 23

So the large van has 23 seats.