SOLUTION: Please help....Each team has played once against every other team in a tournament. The results were
collected in the partly incomplete table below.
Team/ Won/ Drawn/ Lost/ Goals
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Question 402687: Please help....Each team has played once against every other team in a tournament. The results were
collected in the partly incomplete table below.
Team/ Won/ Drawn/ Lost/ Goals for the team/ Goals against the team
.A.... 1.... 1.... 1............ 1..................... 1.........
.B.... 3.... 0.... 0............ 6..................... 1.........
.C.... 1.... 1.... 1............ 1..................... 3.........
.D.... 0.... ?.... ?............ 1..................... 4.........
a) Find the number of draws and the number of losses for team D.
b) What was the result of the match B against C?
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
each team played 3 matches (every other team once)
there are a total of 5 wins, so there must be a total of 5 losses
___ D must have lost 3 times
___ which means they had no draws
A and C both scored one total goal and had one win
___ they both beat D, 1-0
D scored one goal total, against B
A had a total of one goal against; losing to B, 1-0
D had a total of 4 goals against; one each to A and C; and two to B, losing 2-1
B scored 2 goals against D, and one goal against A; that means 3 goals against C
the B vs C score was 3-0
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