Question

In a football (soccer) league, teams receive 3 points for a win (W), 2 points for a tie (T) and 1 point for a loss (L).

a) Write an algebraic expression to represent a team’s total points using the variables listed above.

b) The Thistletown Black Scots’ record for the season was 5 wins, 2 ties and 3 losses. Using your
expression, find the Black Scots’ total points.

c) The 10–game season ended with the Black Scots tied for first place with the same number of points as the Mustangs however their records weren’t the same. What was the Mustang’s record?

Answer 1

a) Total points = 3W + 2T + 1L

b) (3*5) + (2*2) + (3*1)
15 + 4 + 3 = 22
The Black Scot’s total points were 22

c) so, Wins + Ties + Losses = 10 because there were only 10 games played. but we also have to remember that we only can have 22 points. I just randomly plug in numbers until I get what I am looking for.

so I did 4 wins, 4 ties, and 2 losses. this is a total of 10 games, and the points equal 22. we just plug those values into our first equation:
(3*4) + (2*4) + (1*2)
12 + 8 + 2 = 22 points