Loser66
  • Loser66
Mike scored 6000 points in game. In the next five rounds he was out of form and hence, could make only a total of 90 points, as a result of which his average fell by 2 points. How many rounds did he play in all? Please, help
Mathematics
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Let x be the number of rounds played while scoring 6000 points. Then, the average score of these rounds is 6000/x. The total number of rounds played is then x+5 and the total number of points scored is 6090. The average for all the rounds is therefore 6090/(x+5) and this average is 2 less than the average score of the first bunch of rounds. Make sense?
anonymous
  • anonymous
In other words,\[\frac{ 6090 }{ x+5 } = \frac{ 6000 }{ x } - 2\]
Loser66
  • Loser66
I got what you meant. Thanks for explanation. I made a very complicated equation. :)

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anonymous
  • anonymous
You're welcome.

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