Question

A state park changed an entrance fee besed on the number of people in a vehicle. A car containing 2 people is charged $14, a car containing 4 people is charged $20 and a van containing 8 people is charged $32 .If a bus is charged $122, how many people is contained?

Answer 1

122 people

Explanation:

Let's call the number of people in a vehicle "x".

From the information given, we can set up two equations to represent the relationship between the number of people and the entrance fee:

2 people: 14 = fee

x people: fee = 14x/2

4 people: 20 = fee

x people: fee = 20x/4

8 people: 32 = fee

x people: fee = 32x/8

Using the information for the bus, we can set up another equation:

x people: fee = 122

Solving for x in each equation and equating the results, we can find the number of people in the bus:

x = 14x/2

x = 20x/4

x = 32x/8

x = 122

Cross multiplying and simplifying, we find:

x = 122

Therefore, the bus contains 122 people.