Question 190544
Question #1: Hockey

Let x=no of games tied
. x+9=no of games won ("they won 9 more games than they tied")
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2*(x+9)=no of points for games won
1*x =no of points for games tied
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The team got 57 points for the season, so:
2*(x+9)+1*x=57
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Simplifying, we get:
{{{(2x+18)+x=57}}}
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Subtracting 18 from both sides, we get:
{{{2x+18+x-18=57-18}}}
{{{2x+x=39}}}
{{{3x=39}}}
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Dividing both sides by 3, we get:
{{{3x/3=39/3}}}
{{{x=13}}}
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The team tied 13 games and won 13+9=22 games
.
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Question #2:Insurance
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Let x=value of Miquel's car
80%x or 0.8x=maximum damage cost for the car to be replaced
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We know that 7200 is less than 80% since the car was not replaced yet, so:
0.8x>7200
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Dividing both sides by 0.8, we get:
x>9000
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Therefore, Miquel's car must be worth more than 9000.