Answer: There are 18 students in a van and 24 students in a bus.
Step-by-step explanation:
Let the number of students in the van be 'x' and the number of students in bus be 'y'.
Then, According to the question, we have the following system
[tex]\text{[High School A ]}\ x+10y=258........................(1)\\\\\text{[High School B ]}\ 8x+5y=264........................................(2)\\[/tex]
Multiply 2 to both the sides of equation (2), we get
[tex]16x+10y=528.......................(3)[/tex]
Subtract equation (1) from equation (3), we get
[tex]15x=270\\\Rightarrow\ x=\frac{270}{15}\\\Rightarrow\ x=18[/tex]
Substitute value of x in (1), we get
[tex]18+10y=258\\\Rightarrow\ 10y=240\\\Rightarrow\ y=24[/tex]
Hence, there are 18 students in a van and 24 students in a bus.
