SOLUTION: {lease help me with this story problem. I am so confused! The hockey team gets 2 points when they win and 1 when they tie. One season, a team won a championchip with 56 points. Th

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: {lease help me with this story problem. I am so confused! The hockey team gets 2 points when they win and 1 when they tie. One season, a team won a championchip with 56 points. Th      Log On


   

Question 289497: {lease help me with this story problem. I am so confused!
The hockey team gets 2 points when they win and 1 when they tie. One season, a team won a championchip with 56 points. They won 10 more games than they tied. How many wins and how many ties did the team have???
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
First name your variables.
Then translate from words to math eqautions.
Let W be the number of wins and T be the number of ties.
Each win scores 2 points. Each tie scores 1 point.
.
.
.
"They won 10 more games than they tied"
1.W=10%2BT
"won a championchip with 56 points"
2.2W%2B1T=56
Substitute from eq. 1 into eq. 2 and solve for T.
Then go back and solve for W.
2.2W%2BT=56
2%2810%2BT%29%2BT=56
20%2B2T%2BT=56
20%2B3T=56
3T=36
T=12
Then from eq. 1,
1.W=10%2BT
W=10%2B12
W=22
They won 22 games and tied 12 games.