In a chess match, a win counts as 1 point, a draw counts as 0.5 point, and a loss counts as 0 points. after 21 games between the two players, the winner was 8 points ahead of the loser. how many points did the winner have?

The Answer is 14.5

Step-by-step explanation:

Solution:

In a chess match

Win = 1 point

Draw = 0.5 point

Loss = 0 point

Let Winner = W

Loser = L

As given in Question

Total number of matches played between loser and winner = 21

The winner is 8 points ahead of the loser.

So, Writing the above statement in terms of equation consisting of two variable

1.  W = L + 8

2. W + L = 21

Substituting the value of W in (2)

L + 8 +L = 21

2 L = 21 - 8

2 L = 13

L = 6.5

Putting the value of L in equation (1)

W = 8 + 6.5= 14.5

So, winner has 14.5 points, and Loser has 6.5 points.

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step-by-step explanation: