In billiards, A gives B 20 points in 60 and C 30 points in 60. How many points can B grant C in a 100-point game?
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Answer: C. 25
Explanation
A giving B twenty points in sixty means A scores sixty while B scores forty points. A giving C thirty points in sixty means A scores sixty while C scores thirty points. Scaling these relative scoring capacities to a one hundred point game shows B can grant C twenty five points. Billiards handicapping establishes relative skill levels by defining how many points a stronger player concedes. Proportional scaling allows converting handicaps from one game length to a different target point total. Comparing ratios between players creates a transitive ranking system for multi player competitive matches.
Tournament organizers use handicap systems to level the playing field between competitors of varying skill levels. Recreational sports leagues calculate scoring allowances to maintain competitive balance in recurring matches. Game theory applications model handicap distributions to study fairness in competitive recreational contests. Option A overestimates the point handicap by miscalculating the proportional scoring difference between B and C. Option B suggests an excessive point grant that fails to reflect their relative skill ratios accurately. Option D underestimates the handicap allowance by reversing the scoring ratios of the players.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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