Assume that there are only 2 way to score points in football: a 7 point touchdown or a 3 point field goal.<?xml:namespace prefix = o ns = "urn:schemas-microsoft-com
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Using combinations of 7 and 3, a team will be able to score almost all number values in points.<o></o>
(i.e. 2 touchdowns and 3 field goals is 23 points, 3 touchdowns and 1 field goal is 24 points, 1 touchdown and 6 fieldgoals is 25 points, etc).<o></o>
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There are some number values that cannot be achieved. (i.e. 8 points cannot be obtained from any combination of 3 and 7).<o></o>
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QUESTION: What is the smallest number that can be achieved by a team with these rules, where every number LARGER can also be achieved?<o></o>
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> </o>Using combinations of 7 and 3, a team will be able to score almost all number values in points.<o
></o>(i.e. 2 touchdowns and 3 field goals is 23 points, 3 touchdowns and 1 field goal is 24 points, 1 touchdown and 6 fieldgoals is 25 points, etc).<o
></o><o
> </o>There are some number values that cannot be achieved. (i.e. 8 points cannot be obtained from any combination of 3 and 7).<o
></o><o
> </o>QUESTION: What is the smallest number that can be achieved by a team with these rules, where every number LARGER can also be achieved?<o
></o>
