Two high schools, Jefferson Hills East and Jefferson Hills West are taking field trips to the state capital. A total of 408 students from Jefferson Hills East will be going in 3 vans and 6 buses. A total of 516 students from Jefferson Hills West
will be going in 6 vans and 7 buses. Each van has the same number of passengers and each bus has the same number of
passengers.

see explanation!

Step-by-step explanation:

If Jefferson Hills East takes 3 vans and each van has xx students, then 3x3x students will ride in vans. If the school takes 6 buses and each bus has yy students, then 6y6y students will ride in buses. The total number of students is then 3x+6y3x+6y. It is given that the school has 408 students so 3x+6y=4083x+6y=408.

If Jefferson Hills West takes 6 vans and each van has xx students, then 6x6x students will ride in vans. If the school takes 7 buses and each bus has yy students, then 7y7y students will ride in buses. The total number of students is then 6x+7y6x+7y. It is given that the school has 516 students so 6x+7y=5166x+7y=516.

The system of equations is then { 3x+6y=4086x+7y=516  

{

3x+6y=408

6x+7y=516

.

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral