how to solve this equation

Question

The senior classes at High School A and High School B planned separate trips to the water park. The senior class at High School A rented and filled 14 vans and 3 buses with 353 students. High School B rented and filled 8 vans and 12 buses with 644 students. Find the number of students in each van and in each bus.

Answer 1

14v +3b=353

56v+12b=1412

8v+12b=644

48v=768

v =768/48= 16 in a van

353-14(16)=3b

b =224+353)/3=129/3=43 in a bus

2v+3b=161

32+129=161