Answer:
The Number of students:
A van can carry = x = 8 students
A bus can carry = y = 51 students
Step-by-step explanation:
Let us represent
Number of students:
A van can carry = x
A bus can carry = y
School A rented and filled 5 vans and 9 buses with 499 students.
5x + 9y = 499.... Equation 1
School B rented and filled 10 vans and 9 buses with 539 students.
10x + 9y = 539..... Equation 2
Combining both Equations
5x + 9y = 499.... Equation 1
10x + 9y = 539..... Equation 2
Using Elimination method
Subtract Equation 2 from 1
-5x = - 40
x = -40/-5
x = 8 students
Solving for y using Equation 1
5x + 9y = 499.... Equation 1
5 × 8 + 9y = 499
40 + 9y = 499
9y = 499 - 40
9y = 459
y = 459/9
y = 51 students
Therefore,
The Number of students:
A van can carry = x = 8 students
A bus can carry = y = 51 students
