Question

Hockey teams receive 2 points when they win and 1 point when they tie. One​ season, a team won a championship with 66 points. They won 12 more games than they tied. How many wins and how many ties did the team​ have?

Answer 1

26 wins , 14 ties

Explanation:

Given: Hockey teams receive
`2` points when they win and
`1` point when they tie. One​ season, a team won a championship with
`66` points. They won
`12` 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
`=\text{x}`

let the number of ties hockey team have
`=\text{y}`

Now,

Hockey teams receive
`2` points when they win and
`1` point when they tie.

`2\text{x}+\text{y}=66`

They won
`12` more games than they tied

`\text{x}-\text{y}=12`

Solving both equations we get

`\text{x}=26`

`\text{y}=14`

Hence, the hockey team have
`26` wins and
`14` ties.