Question

The state fair is a popular field trip destination. This year the senior class at Lakota West and Lakota East both planned trips there. The senior class at Lakota West rented and filled 8 vans and 8 buses with 240 students. Lakota East rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

Answer 1

Answer:

For High School A, the equation is 8x+8y=240, with x representing number of students in a van and y representing the number of students in a bus. For High school B, the equation is 4x+y=54.

Now solve the system of equations to find the values of your variables.

4x+y=54 means that y=54-4x.

Now plug in this value of y into the equation for High School A.

8x+8(54-4x)=240

8x+432-32x=240

192=24x

8=x

Now that you have solved for x, plug this value in to one of the equations to solve for y.

4(8)+y=54

y=22

To check this solution of x=8 and y=22, plug these values into the other equation

8(8)+8(22)=240

Because this is correct, you know that each van holds 8 students and each bus holds 22 students.