Final answer:
To find out how many vans are in Ted's Taxi Service's fleet, we set up two equations based on the information given and solved them using substitution. The solution shows that Ted's Taxi Service has 6 vans in its fleet.
Step-by-step explanation:
This is a classic algebra problem we can solve by setting up a system of equations. Let's use x to represent the number of vans and y to represent the number of cabs in Ted's Taxi Service fleet. We have two equations based on the information given:
- The total number of vehicles is 17, so x + y = 17.
- The maximum number of people transported is 134, and since vans seat 15 people and cabs seat 4 people, we have 15x + 4y = 134.
We can solve the system of equations by substitution or elimination. Let's use substitution for this example. From the first equation, y = 17 - x. Substituting y into the second equation gives us:
15x + 4(17 - x) = 134
Simplifying, we get:
15x + 68 - 4x = 134
11x = 66
x = 6
So Ted's Taxi Service has 6 vans.