Answer:
No. of students in each Van = 8 , No. of students in each Bus = 27
Step-by-step explanation:
Let number of students in one van be = V {Same for both schools}
Let number of students in one bus be = B {Same for both schools}
School A, 1 van & 7 buses have 197 students. (1 x V) + (7 x B) = 197 {Eq1}
School B, 12 vans & 1 bus have 123 students. (12 x V) + (1 x B) = 123 {Eq3}
Solving Eq 1 & Eq 2 : V + 7B = 197 ; & 12V + B = 123
From Eq 1 , V = 197 - 7B . Putting this value in eq 2, 12 (197 - 7B) + B = 123
2364 - 84B + B = 123 ; -83B = 123 - 2364 ; -83B = -2241 ; B = 2241/ 83 = 27
From Eq 1 : V = 197 - 7B ; V = 197 - 7 (27) = 197 - 189 ; V = 8