Suppose 3 and 8 are the only individual scores in a game of darts. So it is possible to earn scores of 6, 9, 11, 12, 15, 16, etc. Which scores are impossible to earn? How many different scores are impossible to earn?
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Thread: Algebra Trivia Problem - Darts?
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11-02-2011, 10:03 PM #1Senior Member
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Algebra Trivia Problem - Darts?
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11-02-2011, 10:04 PM #2Junior Member
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In general, if two numbers a and b have no common factors, the highest number that cannot be scored is ab - a - b.
In this case it will be 3*8 - 3 - 8 = 13.
All numbers above 13 can be scored. now let's list those that can't:
1, 2, 4, 5, 7, 10, 13 ... seven scores.
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