Lesson 2 Summary

Suppose your class is planning a trip to a museum. The cost of admission is [tex]$\$[/tex]7[tex]$ per person, and the cost of renting a bus for the day is $[/tex]\[tex]$180$[/tex].

- If 24 students and 3 teachers are going, the cost will be: [tex]$7(24) + 7(3) + 180$[/tex] or [tex]$7(24 + 3) + 180$[/tex].
- If 30 students and 4 teachers are going, the cost will be: [tex]$7(30 + 4) + 180$[/tex].

Notice that the numbers of students and teachers can vary. This means the cost of admission and the total cost of the trip can also vary, depending on how many people are going.



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.