Answer:
240 Students and teachers rode buses
70 students and teachers rode vans
Explanation:
Let the total number of buses be x
Let the total number of vans be y
If there were 5 more buses than vans, then x = y+5 ...... 1
If each bus transported a total of 20 students and teachers and each van transported a total of 10 students and teachers then:
20x + 10y = 310 ..... 2 (where 310 represents the total number of students and teachers in the school district)
Substitute equation 1 into 2:
20(y+5)+10y = 310
20y+100+10y = 310
30y = 310-100
30y = 210
y = 210/30
y = 7
Substitute y = 7 into equation 1 to get x:
From 1: x = y+5
x = 7+5
x = 12
The total number of buses are 12 while the total vans are 7
If each bus transported a total of 20 students and teachers, the total number of teachers and students that rode the buses to the zoo will be 20*12 = 240 teachers and students
If each van transported a total of 10 students and teachers, the total number of teachers and students that rode the vans to the zoo will be 10*7 = 70 teachers and students