Solution: If X people are drawn from the red team to the blue team, the red team has (100-x) people and the blue team has (100+x) people.

According to the meaning of the question, the equation is (100-x): (100+x) = 2: 3.

3 times (100-x)=2 times (100+x)

300-3x=200+2x

300-200=2x+3x

100=5x

x=20

A: Then you need to draw 20 people.