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

Answer:

26 wins , 14 ties

Step-by-step 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.