CalTheGreat

Each month it grows 6.1/12, so about 0.51%

This worksheet will help a LOT. Look at the Venn diagrams section. 

The answer would be 

100, 120, 140, 160, 180, 200, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 460, 480, 500, 520, 540, 560, 580, 600, 620, 640, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 900, 920, 940, 960, and 980.

The total number would be 41.

THAT'S A LOT OF NUMBERS!!!

Yay! Thanks!

109/2=54.5, so that means the 54th and the 55th will be the median. 

Therefore, the greatest possible number of students is 30.

Okay. We need to find out the biggest number that can go in the middle of the Venn diagram.

As I get, the solution is 2.

Is this correct?

A little hint.....

The numbers that will work are:

100, 120, 140, 160, 180, 200, 240...

Keep counting by 20, but see what numbers don't work!

The ways to paint the red faces are:

1 and 2

1 and 3

1 and 4

1 and 5

2 and 3

2 and 4

3 and 5

3 and 6

2 and 6

4 and 6 

4 and 5

5 and 6

So 12 ways. I see my mistake!

Really? I'm sorry... I will try again.