Problema Solution
The senior classes at High school A and high school B planned separate trips to NYC. The senior class at high school A rented and filled 1 van and 6 buses with 372 students. High school B rented and filled 4 vans and 12 buses with 780 students. Each van and bus carried the same number of students. How many students can a van and a bus carry?
Answer provided by our tutors
let
b = the number of students a bus can carry
v = the number of students a van can carry
The senior class at high school A rented and filled 1 van and 6 buses with 372 students
v + 6b = 372
High school B rented and filled 4 vans and 12 buses with 780 students
4v + 12b = 780 divide both sides by
v + 3b = 195
by solving the system of equations
v + 6b = 372
v + 3b = 195
we find
v = 18 students
b = 59 students
click here to see the step by step solution of the system of equations
A van can carry 18 students.
A bus can carry 59 students.