The seniors and juniors at sweet valley high school are going on a trip to Busch gardens. The seniors filled 12 Van's and 13 buses with 564 total students. The juniors filled 6 Van's and 13 buses with 492 students. How many students were in each van? in each bus?
step 1
Seniors
Let
x -----> number of students in vans
y -----> number of students in bus
we have
12x+13y=564
Juniors
6x+13y=492
solve the system of equations
Solve by graphing
the solution is the intersection point both graphs
see the attached figure
the solution is the point (12,32)
therefore
In each Vans there are 12 students and in each bus there are 32 students