Solution: If the price of a badminton barrel is X yuan, then a badminton racket is 6.5x yuan.

5x+6.5x=2 14.5

The solution is x= 18.7, so 6.5x= 12 1.55 A: the price of a tube of badminton is 18.7 yuan, and the price of a pair of badminton is 12 1.55 yuan.