Math Question

Question

Hockey teams receive 2 points for a win and 1 point for a tie. The Wildcats once won a championship with 60 points. They won 9 more games than they tied. How many wins and how may ties did the Wildcats have?

 

 

Answer 1

OK, let's write down what we know.

 

1st: a win "w" = 2 points, a tie "t" = 1 point

 

also the # of wins "w" = # ties "t" + 9

 

so, 2·w + t = 60 points 

 

substitute t for w, then

 

2·(t+9) + t = 60 and expanding gives:  2·t + 18 + t = 3·t + 18 = 60

 

subtracting 18 from both sides gives

 

3·t = 42, so t = 42/3 = 14

 

If t = 14 then w = t+9 = 23

 

Check:  2·w + t = 2·(23) + 14 = 46 + 14 = 60

 

so: t = 14 and w = 23