29. In a football league, each team plays exactly once against the other team. The winning team in a match gets 3 points and the losing team in a match gets 0 points. If a match ends in a draw, then each team gets 1 point. At the end of the league, it is known that k teams have scored a total of 10 points. What is the maximum possible k points? a) 8 b) 10 c) 12 d) 14 e) 16

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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29. In a football league, each team plays exactly once against the other
team. The winning team in a match gets 3 points and the losing team in a
match gets 0 points. If a match ends in a draw, then each team gets 1 point.
At the end of the league, it is known that k teams have scored a total of 10
points. What is the maximum possible k points?
a) 8
b) 10
c) 12
d) 14
e) 16
Transcribed Image Text:29. In a football league, each team plays exactly once against the other team. The winning team in a match gets 3 points and the losing team in a match gets 0 points. If a match ends in a draw, then each team gets 1 point. At the end of the league, it is known that k teams have scored a total of 10 points. What is the maximum possible k points? a) 8 b) 10 c) 12 d) 14 e) 16
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