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60 people attend a game night. Everyone chooses to play chess, a two-player game, or Uno, a
four-player game. All 60 people are playing either chess or Uno

A. Complete this table showing some
possible combinations of the number
of each type of game being played:

60 people attend a game night Everyone chooses to play chess a twoplayer game or Uno a fourplayer game All 60 people are playing either chess or Uno A Complete class=

Respuesta :

Answer:

14-8

12-9

0-15

2-14

Step-by-step explanation:

Combinations for different rows will be, 14 - 8, 12 - 9, 0 - 15, 2 - 14.

    Given in the question,

  • Total number of people = 60
  • Number of players who can play chess = 2
  • Number of players who can play Uno = 4

Let the number of chess games played = x

And number of Uno games played = y

Therefore, equation for this situation will be,

2x + 4y = 60

For the 1st row given in the table,

If y = 8,

2x + 4(8) = 60

2x = 28

x = 14

For the 2nd row of the table,

If x = 12,

2(12) + 4y = 60

4y = 36

y = 9

For 3rd row of the table,

If y = 15,

2x + 4(15) = 60

x = 0

For 4th row of the table,

If x = 2,

2(2) + 4y = 60

4y = 56

y = 14

    Therefore, combinations for different rows will be, 14 - 8, 12 - 9, 0 - 15, 2 - 14.

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