College A and College B made it to the state championship
which was held at a large sporting arena far away from both
institutions.
To travel to the arena, College A rented and filled 8 vans and 8
buses with 240 students. College B rented and filled 4 vans
and 1 bus with 54 students. Every van and bus had the same
number of students in.
Let x be the number of students in each van and y be the
number of students in each bus. Find the number of students in
each van and each bus. Write your answer as an ordered pair
(x, y).

The number of students in vans and bus are (8,22)

Step-by-step explanation:

Let the number of students in the van be “x”

Let the number of students in the bus be “y”

It is given that each bus and van have same number of students.

For college A-

8 vans and 8 bus were rented to ferry 240 students

No of students in 8 bus= 8y (since y students were in each bus)

No of students in 8 van= 8x (since x students were in each van)

Hence 8x+8y=240 cancelling the equation with common factor 8, the equation becomes    ⇒ x+ y=30

For College B

4 vans and 1 bus were rented to ferry 54 students

No of students in 1 bus= 1y (since y students were in each bus)

No of students in 4 van= 4x (since x students were in each van)

4x+y=54

Comparing the both equation we get and subtracting equation 2 from 1

x+y-30-4x-y-54=0  ∵ Cancelling y  

-3x=-24

∴ x=8 putting the value of x in equation 1 we get y as 22

Thus the answer is (8,22)  

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

30 people weigh 160 pounds or more