Problema Solution

The senior class at high school A rented and filled 6 vans and 3 buses with 216 students. The senior class at high school B filled 2 vans and 2 buses with 112 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?

Answer provided by our tutors

let


x = the number of students that a van can carry

y = the number of students that a bus can carry


school A


6*x + 3*y = 216


school B


2*x + 2*y = 112


by solving the system of equations


6*x + 3*y = 216

2*x + 2*y = 112


we find


x = 16 students


y = 40 students


the van can carry 16 students.

the bus can carry 40 students.