A School District transported 310 students and teachers to a zoo in buses and vans. Each bus transported a total of 20 students and teachers Each van transported a total of 10 students and teachers. There were 5 more buses than vans. What is the total number of students & teachers who rode the buses to the zoo? What is the total number of students & teachers who rode the vans to the zoo?

240 Students and teachers rode buses

70 students and teachers rode vans

Step-by-step 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