Question

The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 49 students, requires 4 chaperones, and costs $1300 to rent. Each van can transport 7 students, requires 1 chaperone, and costs $80 to rent. Since there are 490 students in the senior in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 490 students. Since only 52 parents have volunteered to serve as chaperones, the officers plan to use at most 52 chaperones. How many vehicles of each type should the officers use