Students at a school are planning a school trip to New Jersey. They have gathered the following information about the cost.
The price of round trip airfare for each person is $600
The cost of hotel room is $60 per night per student and twice that per night per adult.
A. Find an equation to represent the total cost for the trip for one student and for one adult. ( 2 Equations in total). Use C for cost and d for the number of days.
D. Five teachers travel to New Jersey and stay seven nights. How many students could travel to New Jersey and stay for seven nights for the same cost? Show Your work.
Cost for one student/day = 600 + 60d
Cost for one adults/day - 600 + 120d
Work with these two and you do part D.
what is D?
I know if 5 teacher travels for 7 nights its 7200 How will I find how many students
You're absolutely right. $7200 is the cost for 7 nights for 5 adults. How much is the cost for 7 nights for 1 student? Then go from there to see how many students could go for the adults' cost.
420$ for 7 nights for one students + 600 which is 1020
7200 = 1020
about 7 kids
I figured 7.05 but of course you can't chop up the students to get 0.05 of one of them so 7 would be correct. And there is a little money left over. See, you were able to do large parts of this.
A. To find the total cost for the trip for one student and for one adult, we need to consider both the airfare and the hotel costs.
1) For one student:
The cost of the round trip airfare for one student is $600. Additionally, the cost of the hotel room is $60 per night per student. If the trip lasts for d days, the total cost for the trip for one student would be:
C_student = 600 + 60 * d
2) For one adult:
The cost of the round trip airfare for one adult is also $600. However, the cost of the hotel room is twice that for a student, making it $120 per night per adult. The total cost for the trip for one adult would be:
C_adult = 600 + 120 * d
D. To determine how many students could travel to New Jersey and stay for seven nights for the same cost as the five teachers, we need to compare the total cost for the teachers to the total cost for the students.
1) Total cost for the teachers:
The five teachers stay for seven nights, so d = 7 for them. Using the equation for one adult, we can calculate the total cost for the teachers:
C_teachers = 600 + 120 * 7 = 600 + 840 = 1440
2) Total cost for the students:
Let's assume the number of students who can travel is represented by s. Similarly, using the equation for one student, we can calculate the total cost for the students:
C_students = 600 + 60 * 7 = 600 + 420 = 1020
Now, we need to find the value of s that makes the total cost for the students equal to the total cost for the teachers:
1020 = 1440
Let's solve this equation for s.
First, subtract 600 from both sides of the equation to isolate the term with s:
1020 - 600 = 1440 - 600
Simplifying:
420 = 840
Since this equation is not true, it means that there is no whole number value of s that would make the total cost for the students equal to the total cost for the teachers. Therefore, no students could travel to New Jersey and stay for seven nights for the same cost as the five teachers.