Question

An airport shuttle company owns cars that have a maximum capacity of 4 passengers and vans that have a maximum capacity of 9 passengers.They have 11 total vehicles that can combine to carry out 79 passengers. write a system of equations to represent this situation (hint: x=number of cars,y=number of vans)

Answer 1

Let x represent the number of cars

Let y represent the number of vans

We were told that the maximum capacity of the car is 4 passengers. This means that the number of passengers that x cars would carry is 4 * x = 4x

Also, the maximum capacity of the van is 9 passengers. This means that the number of passengers that y vans would carry is 9 * y = 9y

The total number of vehicles used is 11. It means that

x + y = 11

Also, the 11 vehicles can combine to carry 79 passengers. This means that

4x + 9y = 79

The equations are

x + y = 11

4x + 9y = 79