Question

A tennis tournament starts with 117 players. If a player is eliminated after losing three matches, what is the least possible number of matches played when four players are left?

Answer 1

The least possible number of matches played when 4 players are left is 37 matches.

The given parameters;

• total number of players in the tournament = 117 players

• number of players to be eliminated after losing 3 matches = 1

• let the number of matches played when 4 players are left = n

The least possible number of matches played when 4 players are left is calculated as;

117 - 1(3n) = 4

117 - 3n = 4

3n = 117 - 4

3n = 113

divide both sides by 3

$n = \frac{113}{3} \\\\n = 37.67 \\\\n \approx 37 \ matches$

Thus, the least possible number of matches played when 4 players are left is 37 matches.

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