He will need to transport at least 88 people, since that is the number of people going on the trip. A van can see 9 people and a bus can seat 17 people

Question

Mr. benson is organizing a field trip and is trying to figure out which vehicles to rent. He will need to transport at least 88 people, since that is the number of people going on the trip. A van can see 9 people and a bus can seat 17 people

Answer 1

V=number of vans and B=number of buses.

9V+17B=88. So V=(88-17B)/9=(90-2-(18-1)B)/9=10-2/9-2B+B/9=10-2B+(B-2)/9.

If (B-2)/9 is an integer then we get positive integer values for B and V.

If B=2, V=6. No other value of B is possible.

So 6 vans will carry 54 people and 2 buses will carry 34, total 88 people.

The question says “at least” 88 people, so the minimum requirements are 6 vans and 2 buses.