Question

The indoor climbing gym is a popular field trip destination. This year, the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 5 vans and 12 buses with 659 students. High School B rented and filled 7 vans and 6 buses with 361 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) A van can carry 33 students, and a bus can carry 48 students.
B) A van can carry 45 students, and a bus can carry 26 students.
C) A van can carry 55 students, and a bus can carry 28 students.
D) A van can carry 39 students, and a bus can carry 42 students.

Answer 1

A van can carry 33 students, and a bus can carry 48 students.

Step-by-step explanation:

To determine how many students can a van carry and how many students can a bus carry, we can set up a system of equations using the given information:

Let's say the number of students a van can carry is 'x' and the number of students a bus can carry is 'y'.

From the information provided, we can form the following equations:

5x + 12y = 659 (equation 1)

7x + 6y = 361 (equation 2)

To solve this system of equations, we can use substitution or elimination method.

Solving the system of equations, we find that x = 33 and y = 48.

Therefore, a van can carry 33 students, and a bus can carry 48 students.