Hello, DemonEyesBob!

I used a primitive approach (and got the same answer).

We have: .

Solve for

Since is an integer, is divisible by 13.

The first time this happens is:

Therefore: .

2. You have a bag of pink, yellow and green balls.

You have to pick 14 balls to be sure of at least 2 pink.

You have to pick 12 balls to be sure of at least 2 yellow.

You have to pick 8 balls to be sure of at least 2 green.

How many of each color?

I thought of this as: . . . . . so did I!

I just solved the system: .

. . and got: .