The county fair is a popular field trip destination. this year the senior class at high school a and the senior class at high school b both planned trips there. the senior class at high school a rented and filled 11 vans and 9 buses with 624 students. high school b rented and filled 5 vans and 1 bus with 126 students. each van and each bus carried the same number of students. find the number of students in each van and in each bus.

15 students are in each van and 51 students are in each bus

Solution:

Let "x" be the number of students in each van

Let "y" be the number of students in each bus

The senior class at High School A rented and filled 11 vans and 9 buses with 624 students

Therefore, a equation is framed as:

11 vans x number of students in each van + 9 buses x number of students in each bus = 624

11x + 9y = 624 ------- eqn 1

High School B rented and filled 5 vans and 1 bus with 126 students

Therefore, a equation is framed as:

5 vans x number of students in each van + 1 buses x number of students in each bus = 126

5x + y = 126 ---------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 2,

y = 126 - 5x ------ eqn 3

Substitute eqn 3 in eqn 1

11x + 9(126 - 5x) = 624

11x + 1134 - 45x = 624

-34x = 624 - 1134

-34x = -510

34x = 510

Substitute x = 15 in eqn 3

y = 126 - 5(15)

y = 126 - 75

Thus 15 students are in each van and 51 students are in each bus

i believe the answer is d