Answer:
A)14v + 16b = 1152
10v + 13b = 925
B)Number of students in a van = 8
Number of students in each bus = 65
C) Elimination method was easier.
Step-by-step explanation:
Let v be the number of students in a van
Let b be number of students in a bus
A) We are told the first school can fill 14 vans and 16 buses with 1152 students
Thus;
14v + 16b = 1152 - - - - - (eq 1)
Also,we are told that the second school can fill 10 vans and 13 buses with 925 students.
Thus;
10v + 13b = 925 - - - - (eq 2)
B) To solve this we will use elimination method.
Multiply eq (1) by 5 and multiply eq (2) by 7 to give;
70v + 80b = 5760 - - - - eq(3)
70v + 91b = 6475 - - - - - eq(4)
Subtract eq(3) from eq(4) to give;
91b - 80b = 6475 - 5760
11b = 715
b = 715/11
b = 65
Put 65 for b in eq(3) to give;
70v + 80(65) = 5760
70v = 5760 - 80(65)
70v = 560
v = 560/70
v = 8
Number of students in a van = 8
Number of students in each bus = 65
C) Elimination method was used because in both equations, we had different digits attached and so it would have been more tedious to use substitution method or graphical method. Thus, elimination method was more easier.
