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clock60
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hi guys, confused with this one
In order to play a certain game, 24 players must be split into n teams, with each team having an equal number of players. If there are more than two teams, and if each team has more than two players, how many teams are there?
(1)If thirteen new players join the game, one must sit out so that the rest can be split up evenly among the teams.
(2) If seven new players join the game, one must sit out so that the rest can be split up evenly among the teams.
oa is E but i got C
i have little idea how to couple but i am wrong.... where?
if there 24 players, the number of teams and the number of players in every team can be
(4,6) (6,4) (3,8) (8,3)
(1) 24+13=37-1=36-the number of players so possible pairs are
(3,12) (12,3) (6,6) ( 4,9) (9,4) insuff
(2) 24+7=31-1=30 (5,6) (6,5) (3,10) (10,3) again insuff
now i start to understand but not sure
together
the number players can be (3,12) (3,10) with 3 players or (6,6) (6,5) with 6 players so also both insuff
guys i will be happy to observe other solutions or ways of thinking
In order to play a certain game, 24 players must be split into n teams, with each team having an equal number of players. If there are more than two teams, and if each team has more than two players, how many teams are there?
(1)If thirteen new players join the game, one must sit out so that the rest can be split up evenly among the teams.
(2) If seven new players join the game, one must sit out so that the rest can be split up evenly among the teams.
oa is E but i got C
i have little idea how to couple but i am wrong.... where?
if there 24 players, the number of teams and the number of players in every team can be
(4,6) (6,4) (3,8) (8,3)
(1) 24+13=37-1=36-the number of players so possible pairs are
(3,12) (12,3) (6,6) ( 4,9) (9,4) insuff
(2) 24+7=31-1=30 (5,6) (6,5) (3,10) (10,3) again insuff
now i start to understand but not sure
together
the number players can be (3,12) (3,10) with 3 players or (6,6) (6,5) with 6 players so also both insuff
guys i will be happy to observe other solutions or ways of thinking












