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Baseball Anyone? (Posted on 2004-11-03) Difficulty: 1 of 5
The Peytonville Peacocks and the Adenville Aardvarks have each played the same number of games so far this season.

The Peacocks have a .664 average, and the Aardvarks have won 70 games. Which team is ahead?

Note that each team plays 162 games in a season, and that the team's average is the number of games won divided by the number of games played rounded off to three decimal places.

No Solution Yet Submitted by SilverKnight    
Rating: 2.0000 (3 votes)

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Solution Full Solution (with table :-) | Comment 1 of 6

Consider what we know: the teams have played at least 70 games and at most 162 games. The Peacocks have played and one a combination of games that average to .664, rounded. Assuming rounding is on the up-at-5 rule, we need only do a search of fractions that round to this, where the denominator runs from 70 to 162. We get a choice!

0.663551    71  /  107
0.663636    73  /  110
0.663717    75  /  113
0.663793    77  /  116
0.663866    79  /  119
0.663934    81  /  122
0.664         83  /  125
0.664063    85  /  128
0.664122    87  /  131
0.664179    89  /  134
0.664234    91  /  137
0.664286    93  /  140
0.664336    95  /  143
0.664384    97  /  146
0.66443      99  /  149
0.664474   101  /  152

In all of these cases, the Peacocks win more games!!


  Posted by owl on 2004-11-03 12:15:16
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