Question

I will give brainilest answer.

The state 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 8 vans and 8 buses with 240 students. High School B rented 4 vans and 1 bus with 54 students. Every van had the same number of Students in it as did the busses. Find the number of students in each van and in each bus.

Answer 1

Let the number of students in the van be x
Let the number of students in the bus be y

From the data :-

School A:- 8x+8y=240---------------1

School B:- 4x+y=54--------------2

Now multiplying equation 2 with 2 we will get :-

8x+2y=108----------------3

Subtracting equation 3 from equation 1:-

8x+8y=240
8x+2y=108
- - -

=>6y=132
y=132/6
y=22
Substituting value of y in equation 2:-

4x+y=54
4x=54-22
4x=32
x=8

Answer:- The number of students in the van=x=8

The number of students in the bus=y=22

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