the fifth grade students are planning a field trip to the Bay aquarium. there are 120 students,4 teachers and 8 parents. the aquarium charges $2 per student no charge for teachers or parents. it costs $50 an hour to charter a bus a bus will hold 56 people, two in a seat, and up to as many as 84 people three in a seat. choose a time period for chartering the buses. Allow about 11/2 hours travel time each way. What is the cost per student for the field trip?
3.50 $
To calculate the cost per student for the field trip, we need to determine the total cost of chartering the required number of buses and then divide that by the total number of students.
Let's break down the information provided:
- Number of students: 120
- Number of teachers: 4
- Number of parents: 8
Now, let's find out how many buses are needed:
To accommodate all the students, teachers, and parents, we need to consider the maximum number of occupants per bus, which is 84 people.
First, we need to calculate the total number of students, teachers, and parents:
Total number of people = Number of students + Number of teachers + Number of parents
Total number of people = 120 + 4 + 8 = 132
Next, we divide the total number of people by the maximum occupancy of the bus (84):
Number of buses needed = Total number of people / Maximum occupancy per bus
Number of buses needed = 132 / 84 = 1.57 (rounded up to 2 buses)
Since we need to allow for about 1 1/2 hours of travel time each way, we can consider chartering the buses for 5 hours (3 hours for the field trip and 1.5 hours each way).
Now let's calculate the cost of chartering the buses:
Cost per bus = Number of hours chartering * Cost per hour
Cost per bus = 5 hours * $50/hour
Cost per bus = $250
Total cost of chartering both buses = Cost per bus * Number of buses needed
Total cost of chartering both buses = $250 * 2
Total cost of chartering both buses = $500
Lastly, let's calculate the cost per student:
Cost per student = Total cost of chartering both buses / Number of students
Cost per student = $500 / 120
Cost per student = $4.16 (rounded to the nearest cent)
Therefore, the cost per student for the field trip to the Bay aquarium is approximately $4.16.