Football league

In the 2nd football league plays each of the 16 participants with each opponent twice. For every victory gets 3 points, 1 point for a draw, a defeat none. After the competition was team with 54 points and 12 defeats at 9th place. How many times have won?

Correct result:

x =  18


2(16-1) = x + r + 12;
54 = 3x + r

2•(16-1) = x + r + 12
54 = 3•x + r

r+x = 18
r+3x = 54

r = 0
x = 18

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