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

Question

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

anonymous · Answer

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 · Answer

In other words,$$\frac{ 6090 }{ x+5 } = \frac{ 6000 }{ x } - 2$$

loser66 · Answer

I got what you meant. Thanks for explanation. I made a very complicated equation. :)

anonymous · Answer

You're welcome.