The Newton city park has 11 basketball courts which are all in use. There are 54 people playing basketball some are playing one on one and some are playing in teams. A one on one game requires two players and a team game requires 10 players. Write a system of equations that represents the number of one on one and team games being played

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Step-by-step explanation:

Given that:

Number of basket ball courts = 11

Total number of people playing basketball = 54

Number of players required for one on one game = 2

Number of players required for team game = 10

Inequality to represent number of one on one and team Games being played :

Let one on one games = a

Team games = b

Number of players required for each game * number of games

2a + 10b = 54 - - - (1)

a + b = 11 - - - (2)

a = 11 - b

2(11 - b) + 10b = 54

22 - 2b + 10b = 54

8b = 32

b = 4

a = 11 - b

a = 11 - 4

a = 7

Number of one on one games = 7

Number of Team games = 4

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answer: x=3 and y=4

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