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 many ties did the Wildcats have?

Answer 1

This is a system of equations problem:

Let w stand for wins, and t stand for ties, then we have:

(2*w)+(1*t)=60 given

w=t+9 given

Let's use substitution, using the value of w in Equation 1 in Equation 2:

2*(t+9)+t=60

2t+18+t=60

3t+18=60

3t=42

t=14

Use this value of t in Equation 2 to find w:

w=t+9

w=14+9

w=23

So on their championship run, the Wildcats won 23 games and had 14 ties.