SOLUTION: Hockey player recieve 2 points whan they win and 1 point when they tie .One season a team won a champion ship with 57 points. the won 9 more games than they tied. How many did the

Question 190544: Hockey player recieve 2 points whan they win and 1 point when they tie .One season a team won a champion ship with 57 points. the won 9 more games than they tied. How many did the team have?

Miquel's insurance company will replace his car if repair cost exceed 80% of the cars value. The car recently sustained 7200 woth of damage, but it was not replaceed what was the value of this car?

Answer by jonvaliente(64) (Show Source): You can put this solution on YOUR website!
Question #1: Hockey
Let x=no of games tied
. x+9=no of games won ("they won 9 more games than they tied")
.
2*(x+9)=no of points for games won
1*x =no of points for games tied
.
The team got 57 points for the season, so:
2*(x+9)+1*x=57
.
Simplifying, we get:

.
Subtracting 18 from both sides, we get:

.
Dividing both sides by 3, we get:

.
The team tied 13 games and won 13+9=22 games
.
.
Question #2:Insurance
.
Let x=value of Miquel's car
80%x or 0.8x=maximum damage cost for the car to be replaced
.
We know that 7200 is less than 80% since the car was not replaced yet, so:
0.8x>7200
.
Dividing both sides by 0.8, we get:
x>9000
.
Therefore, Miquel's car must be worth more than 9000.
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