Ericthegg123

Your method is much easier then mines, great thinking!

From the following information in the problem, we construct the following equations: (assuming that we use m=movies and v=video games.)

1.7m+9v=78

2. 5m+3v=36

Using the method of substitution:

7m+5m+9v+3v=114

12m+12v=114

m+v=19/2

and so m=19/2-v.

Substituting this into equation 1, we get:

7(19/2-v)+9v=78

66.5+2v=78

2v=11.5

v=5.75 and so m=3.75

Problem 16 2012 AMC10 A

Three runners start running simultaneously from the same point on a 500 -meter circular track. They each run clockwise around the course maintaining constant speeds of 4.4, 4.8 , 5.0 and  meters per second. The runners stop once they are all together again somewhere on the circular course. How many seconds do the runners run?

(A)1000 (B)1250 (C)2500 (D)5000 (E)10000

Thanks for helping me! But the answer you gave me is not correct.

Yay thanks a lot!

We do:

1*3/4*2/4*1/4

=6/64

=3/32

I did not.

Dos that mean that i have to find another question?

This is how you do it:

You see that the 4 triangles added together is 5-4=1

So the area or one traingle is 1/4=b*h/2 (in this case it is a and b), so a*b=1/4*2=1/2.

The answer is 1/2.