Respuesta :
Answer: 8 chess matches and 11 cribbage matches.
Step-by-step explanation:
60 people, 4 people play a match of cribbage, so if theres 3 more matched than chess we can subtract that from the total 60 to get the answer. 3x4=12 60-12=48, 2 people per chess game and 4 people per cribbage game add them 6, 48 divided by 6 since its an even amount now, 48/6=8 add 8 matched to the remaining 3 for the cribbage.
8 chess games are being played while 11 cribbage games are being played.
Let x represent the number of chess games and y represent the number of cribbage games.
Since there are 60 people, chess is a two-player game and cribbage is a four-player game, hence:
2x + 4y = 60 (1)
There are 3 more games of cribbage than games of chess, hence:
y = x + 3
-x + y = 3 (2)
Solving equations 1 and 2 simultaneously gives:
x = 8, y = 11
Therefore 8 chess games are being played while 11 cribbage games are being played.
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