Answer :
Let's break down the problem step-by-step using the given example numbers.
### First Group: 24 Students and 3 Teachers
1. Calculating Total Number of People:
- Number of students = 24
- Number of teachers = 3
- Total number of people = 24 + 3 = 27
2. Calculating Admission Cost:
- Cost per admission = \[tex]$7 - Total cost of admission = 27 people * \$[/tex]7/person = \[tex]$189 3. Calculating Total Trip Cost: - Bus rental cost = \$[/tex]180
- Total trip cost = Total admission cost + Bus rental cost
- Total trip cost = \[tex]$189 + \$[/tex]180 = \[tex]$369 So, for the first group of 24 students and 3 teachers, the total number of people is 27, the total admission cost is \$[/tex]189, and the total cost of the trip is \[tex]$369. ### Second Group: 30 Students and 4 Teachers 1. Calculating Total Number of People: - Number of students = 30 - Number of teachers = 4 - Total number of people = 30 + 4 = 34 2. Calculating Admission Cost: - Cost per admission = \$[/tex]7
- Total cost of admission = 34 people * \[tex]$7/person = \$[/tex]238
3. Calculating Total Trip Cost:
- Bus rental cost = \[tex]$180 - Total trip cost = Total admission cost + Bus rental cost - Total trip cost = \$[/tex]238 + \[tex]$180 = \$[/tex]418
So, for the second group of 30 students and 4 teachers, the total number of people is 34, the total admission cost is \[tex]$238, and the total cost of the trip is \$[/tex]418.
### Summary
- For the first group with 24 students and 3 teachers:
- Total number of people: 27
- Total admission cost: \[tex]$189 - Total trip cost: \$[/tex]369
- For the second group with 30 students and 4 teachers:
- Total number of people: 34
- Total admission cost: \[tex]$238 - Total trip cost: \$[/tex]418
Breaking down the calculations this way helps ensure that each step is clear and that the total costs are accurately determined based on the number of people attending.
### First Group: 24 Students and 3 Teachers
1. Calculating Total Number of People:
- Number of students = 24
- Number of teachers = 3
- Total number of people = 24 + 3 = 27
2. Calculating Admission Cost:
- Cost per admission = \[tex]$7 - Total cost of admission = 27 people * \$[/tex]7/person = \[tex]$189 3. Calculating Total Trip Cost: - Bus rental cost = \$[/tex]180
- Total trip cost = Total admission cost + Bus rental cost
- Total trip cost = \[tex]$189 + \$[/tex]180 = \[tex]$369 So, for the first group of 24 students and 3 teachers, the total number of people is 27, the total admission cost is \$[/tex]189, and the total cost of the trip is \[tex]$369. ### Second Group: 30 Students and 4 Teachers 1. Calculating Total Number of People: - Number of students = 30 - Number of teachers = 4 - Total number of people = 30 + 4 = 34 2. Calculating Admission Cost: - Cost per admission = \$[/tex]7
- Total cost of admission = 34 people * \[tex]$7/person = \$[/tex]238
3. Calculating Total Trip Cost:
- Bus rental cost = \[tex]$180 - Total trip cost = Total admission cost + Bus rental cost - Total trip cost = \$[/tex]238 + \[tex]$180 = \$[/tex]418
So, for the second group of 30 students and 4 teachers, the total number of people is 34, the total admission cost is \[tex]$238, and the total cost of the trip is \$[/tex]418.
### Summary
- For the first group with 24 students and 3 teachers:
- Total number of people: 27
- Total admission cost: \[tex]$189 - Total trip cost: \$[/tex]369
- For the second group with 30 students and 4 teachers:
- Total number of people: 34
- Total admission cost: \[tex]$238 - Total trip cost: \$[/tex]418
Breaking down the calculations this way helps ensure that each step is clear and that the total costs are accurately determined based on the number of people attending.
