Math word problem can un help me?

Question

Hockey team receives 2 points when they win and 1 point when they tie. One season a team won a championship with with 57 points. They won 9 more games than they tied. How many wins and how many ties did the team have?

1. How many wins?

2. How many ties?

Answer 1

Let us assume there were x wins and y ties.

x=y+9

2x+y=57

2(y+9)+y=57

2y+18+y=57

3y+18=57

3y=39

y=13 (ties)

x=y+9=22 (wins)

Answer 2

Whenever you do a word problem, look at the last sentence first. It tells you your variables.

"How many wins and how many ties."

W: Wins

T: Ties

Now back to the problem.

"Hockey team receives 2 points when they win and 1 point when they tie. "

So the amount of points for winning is "2W" and the amount of points for tieing is "1T".

"One season a team won a championship with with 57 points. "

So they got 57 points.  

So 2W + 1T = 57.

"They won 9 more games than they tied."

Or, the amount of wins is the amount of ties plus 9.

W = T + 9

So now we have a system of two equations to solve.  Plug the one just above in for W in the first one.

2(T+9) + 1T = 57

I'll leave the rest to you!