Answer:
26 wins , 14 ties
Step-by-step explanation:
Given: Hockey teams receive [tex]2[/tex] points when they win and [tex]1[/tex] point when they tie. One season, a team won a championship with [tex]66[/tex] points. They won [tex]12[/tex] more games than they tied.
To Find: How many wins and how many ties did the team have.
Solution:
let the number of wins hockey team have [tex]=\text{x}[/tex]
let the number of ties hockey team have [tex]=\text{y}[/tex]
Now,
Hockey teams receive [tex]2[/tex] points when they win and [tex]1[/tex] point when they tie.
[tex]2\text{x}+\text{y}=66[/tex]
They won [tex]12[/tex] more games than they tied
[tex]\text{x}-\text{y}=12[/tex]
Solving both equations we get
[tex]\text{x}=26[/tex]
[tex]\text{y}=14[/tex]
Hence, the hockey team have [tex]26[/tex] wins and [tex]14[/tex] ties.
