SOLUTION: HOCKEY teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 57 points. They won 12 more games than they tied. How many wins
Algebra ->
Expressions-with-variables
-> SOLUTION: HOCKEY teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 57 points. They won 12 more games than they tied. How many wins
Log On
Question 259891: HOCKEY teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 57 points. They won 12 more games than they tied. How many wins and ties did the team have? Found 2 solutions by stanbon, richwmiller:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! HOCKEY teams receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 57 points. They won 12 more games than they tied. How many wins and ties did the team have?
------------------------------------------------------------
Quantity Eq.: w = t + 12
Points Eq.: 2w + 1t = 57
---------------------------------
Substitute for "w" and solve for "t":
2(t+12) + t = 57
2t + 24 + t = 57
3t = 33
t = 11 (# of games the team tied)
---
Since w = t + 12, w = 11 + 12 = 23 (# of games the team won)
==========================
Cheers,
Stan H.