In a chess match, a win counts as 1 point, a draw counts as 1/2 point, and a loss counts as 0 points. After...

Question

In a chess match, a win counts as 1 point, a draw counts as 1/2 point, and a loss counts as 0 points. After 15 games, the winner was 4 points ahead of the loser. How many points did the loser have?

SnapAndSolve AI · Accepted Answer

Let the points of the winner be W and the points of the loser be L. We know:

W + L = 15 (since there are 15 games in total).
W = L + 4 (since the winner is 4 points ahead).

Substitute the second equation into the first:

(L + 4) + L = 15
2L + 4 = 15
2L = 11
L = 5.5

The loser had 5.5 points.

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In a chess match, a win counts as 1 point, a draw counts as 1/2 point, and a loss counts as 0 points. After...

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