Question

in a football tournament,each team plays exactly 19 games teams get 3 points for every win and 1 point for every tie

Answer 1

Given :   In a football tournament, each player plays exactly 19 games. Teams get 3 points for every win and 1 point for every tie . At the end of the tournament, team olympus got total of 28 points.

To find  : How many times could team olympus have tied

Solution:

3 points for Win    

1 point for  Tie

0 point for  Loose

Let say  Tie  = T  

& Win = W  

T + W  ≤  19  

T , W ≥ 0

3W  +  T   =  28  

T + W  ≤  19

=> 2W  ≥  9

=> W ≥ 4.5  

( match can be won in integers only )

=> W  ≥  5  

W       T        Loose

5        13           1

6        10           3

7         7            5

8         4            7

9          1            9    

olympus could have tied  13 , 10 , 7 , 4 or  1  match

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