Answer: Van = 198 students
bus = 672 students
Explanation:
Let x represent the number of students in the vans and y represent the number of students in the buses, then from the first statement , we have
11x + 4y = 289 ................. equation 1
From the second statement, we also have
7x + 12y = 581 ............... equation 2
Combining the two equations together and solving simultaneously , we have
x = 11 and y = 42
therefore the number of students vans can carry will be'
11x + 7x
= 11(11) + 7 (11)
= 121 + 77
= 198
The number of students buses will carry will be
4y + 12y
= 4(42) + 12(42)
= 168 + 504
= 672