Question

3. There are four teams in the raquetball league on the island of Allendine. In a season, they play each other once. Three points are awarded for a win, one for a draw and none for a loss. At the end of the season, the points were as follows:

Arcadia 4

Brextone 4

Cremore 2

Dunross 6


a) How many matches were drawn?


b) What was the result of the match between Dunross and Cremore?


c) If Brextone beat Dunross, can you determine the results of all the matches?

Answer 1

a) 2 matches dawn

b) Dunross won that game

c) Yes we can determine the results of all matches ( see step by step explanation)

Explanation:

Let call Acadia team ( team A ) Brextone team ( team B ) Cremore team ( team C) and Dunross team (team D)

As each team play each other once, the the games were:

A plays vs B C and D

B plays vs C and D

C plays vs D

A won one match and draw other and lost the other so made 4 points

B did the same 4 points

C got drawn in two games and lost the third total of 2 points

D won 2 games and lost 2 total of 6 points

a) A had one match drawn

B had one match drawn

C had two match drawn

Then we have a total of two matches drawn

b) Dunross won that game

c) If B beat D we can determine the others results

as follows

C lost the game with D and drawn with A and B

D won game with C , lost the game with B and won the game with A

A lost the game with D , drawn a game with C and won the game with B

B Lost the game with A , drawn the game with C and, won the game with D

Answer 2

Answer and Step-by-step explanation:

Team: Points. Results fetching points

Arcadia. 3+1. 1 win & 1 draw

Brextone. 3+1. 1 win & 1 draw

Cremore 1+1. 2 draws

Dunross. 3+3. 2 wins

a) Based on the previous data, we can conclude that the number of matches drawn was 4

b) Dunross defeated cremore since cremore did not win any league game and dunross reported no ties

c) Yes, you can get a prediction of the matches with their respective results as follows

Brextone drew with Cremore

Dunross beat Arcadia

Arcadia beat Brextone

Arcadia drew with Cremore

Dunross beat Cremore