Question

The 9th graders at South Campus and East Campus planned separate trips to New York City. South Campus rented and filled 1 van and 6 buses with 372 students. East Campus rented and filled 4 vans and 12 buses with 780 students. Each van and each bus carried the same number of students. How many students can a van carry? How many students can a bus carry?

A. 30 students per van, 52 students per bus
B. 60 students per van, 62 students per bus
C. 50 students per van, 55 students per bus
D. 40 students per van, 48 students per bus

Answer 1

A van can carry 366 students and a bus can carry 61 students.

Step-by-step explanation:

To find out how many students can a van carry, we need to divide the total number of students by the number of vans. There are 1 van and 6 buses, so we can subtract the number of buses from the total students and divide it by the number of vans:

1. 
   
2. Number of vans = 1
3. 
   
4. Number of buses = 6
5. 
   
6. Total students = 372
7. 
   
8. Number of students per van = (Total students - Number of buses) / Number of vans = (372 - 6) / 1 = 366 / 1 = 366

So, a van can carry 366 students.

To find out how many students can a bus carry, we can use the same approach. We'll subtract the number of vans from the total students and divide it by the number of buses:

1. 
   
2. Number of vans = 1
3. 
   
4. Number of buses = 6
5. 
   
6. Total students = 372
7. 
   
8. Number of students per bus = (Total students - Number of vans) / Number of buses = (372 - 1) / 6 = 371 / 6 = 61.8333

So, a bus can carry approximately 61.8333 students. Since a bus cannot carry fractional students, we can round it down to the nearest whole number:

Therefore, a bus can carry 61 students.