September 2024
Problem of the Month

Soccer Standings
Submitted by K. Sengupta of Calcutta, India



After the close of the soccer season, the final standings for the four teams named A, B, C and D were:

Team Won Draw Lost GF GA Pts
  A     3     0     0     7     1     9  
  B     1     1     1     2     3     4  
  C     1     1     1     3     3     4  
  D     0     0     3     1     6     0  


Each of the four teams played against one other one time.

Team A beat team B, 3 - 0.

Can you deduce the results of the other five games?

In the standings,
GF stands for the number of goals that team scored

GA stands for the number of goals that team allowed

Pts stands for Points,and is calculated by mutiplying each win by 3 and each draw by 1.   No points are awarded for a loss.




Send your solution by the end of the month to: mathpage@gmail.com