Answer:
A van can carry 15 students and a bus can carry 21 students
Explanation:
System of Equations
There are separate trips to the water park for which vans and buses were rented. Let's call the variables:
x = number of students that a van can carry
y = number of students that a bus can carry
6 vans and 8 buses were filled with 246 students. This leads to the equation:
6x + 8y = 246
Dividing by 2:
4x + 3y = 123 [1]
4 vans and 8 buses were filled with 228 students. Thus, we form the equation:
4x + 8y = 228 [2]
Subtracting [2] minus [1]:
5y = 228 - 123 = 105
Dividing by 5:
y = 105/5 = 21
y = 21
From [1]:
4x + 3*21 = 123
4x + 63 = 123
Subtracting 63:
4x = 60
Dividing by 4:
x = 60/4 = 15
x = 15
A van can carry 15 students and a bus can carry 21 students