Problema Solution
hockey team receives 2 points when they win and 1 point when they tie. One season, a team won a championship with 55 points. They won 11 more games than they tied. How many wins and how many ties did the team have.
Answer provided by our tutors
Let w = wins and t = ties, therefore
2w + 1t = 55.
t + 11=w (if they won 11 more than tied, you need to add 11 to ties to make it even with wins)
2(t+11) +t =55.
2t + 22 + t =55.
3t = 33.
t= 11 therefore w = 22.