To determine the number of teams that participated in the football matches, we can use the formula for the number of matches played in a round-robin tournament.
The formula to calculate the number of matches in a round-robin tournament with "n" teams is:
matches = (n * (n - 1)) / 2
Given that 91 matches were played, we can set up the equation:
91 = (n * (n - 1)) / 2
To solve the equation, we can multiply both sides by 2 to eliminate the fraction:
182 = n * (n - 1)
Now, we can try different values for "n" to see which one satisfies the equation:
For n = 14:
182 = 14 * (14 - 1)
182 = 14 * 13
182 = 182
Since n = 14 satisfies the equation, the correct answer is: