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How Many Balls?

Stage: 5 Challenge Level: Challenge Level:1

A bag contains an assortment of red and blue balls. Two balls are drawn at random.

You are told that the probability of drawing two red balls is 5 times the probability of drawing two blue balls. Furthermore, the probability of drawing one ball of each colour is 6 times the probability of drawing two blue balls.

How many blue and how many red balls are in the bag?