In a football tournament, each palyer plays exactly 19 games. Teams get 3 points for every win and 1 ponit for every tie. At the end of the tournament, team olympus got total of 28 points. How many times could twam olympus have tied?
Answers
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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