Batting Average

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Ross has scored a total of 311 runs in the nine games of cricket he has played this season. He has been out in all of these innings.

Michael goes in after Ross is out in the last game. To that point Michael has scored 26, 43, 22, 35, 0, 29, 63, and 21, but has only been out in 7 innings so far. What are the fewest runs that Michael needs score in this innings in order to beat Ross’ average? A batting average is calculated by dividing the runs scored by the number of times the player has gone out.

Solution