Football league

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

Correct answer:

x =  18

Step-by-step explanation:

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

Row 2 - Row 1 → Row 2
r+x = 18
2x = 36


x = 36/2 = 18
r = 18-x = 18-18 = 0

r = 0
x = 18

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