SOLUTION: A total of 315 Grade 8 students participated in a community outreach program organized by the local government. Some students rode in vans which hold 9 passengers each and some

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A total of 315 Grade 8 students participated in a community outreach program organized by the local government. Some students rode in vans which hold 9 passengers each and some      Log On


   



Question 1178320: A total of 315 Grade 8 students participated in a community outreach program organized
by the local government. Some students rode in vans which hold 9 passengers each and
some students rode in buses which hold 22 passengers each. How many of each type of
vehicle did they use if there were 22 vehicles in total?

Answer by ikleyn(52769) About Me  (Show Source):
You can put this solution on YOUR website!
.

x buses and (22-x) vanes.


The total students equation is


    22x + 9*(22-x) = 315   students.


From the equation


    x = %28315+-+9%2A22%29%2F%2822-9%29 = 9.


ANSWER.  9 buses and (22-9) = 13 vanes.


CHECK.  9*22 + 13*9 = 315 students, in all.    ! Correct !

Solved.