SOLUTION: In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played by N=n2 – n.
How many teams are in a softball league if
Algebra.Com
Question 187522: In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played by N=n2 – n.
How many teams are in a softball league if the total number of games played is 42?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
In a sports league of n teams in which each team plays every other team twice, the total number N of games to be played by: N = n^2 – n.
:
How many teams are in a softball league if the total number of games played is 42?
:
n^2 - n = 42
:
n^2 - n - 42 = 0; A quadratic equation
factors to:
(n-7)(n+6) = 0
The positive solution
n = 7 teams
:
:
Check solution in original equation:
N = 7^2 - 7
N = 42
RELATED QUESTIONS
In a sports team in N teams in which each team plays every other team twice, the total... (answered by fractalier)
In a sports league of n teams in which each team plays every other team twice, the total... (answered by jorel555,MathLover1)
In a sports league of n teams in which each team plays every other team twice, the total... (answered by feliz1965)
In a sports league of n teams in which each team plays every other team twice, the total... (answered by jim_thompson5910)
In the sports league of n team s in which each team plays every other team twice, the... (answered by checkley77)
If there are x teams in a league and each team plays every other team twice, the the... (answered by stanbon)
In a basketball league of x teams of which every team plays every other twice, the total... (answered by ikleyn)
The formula N=t^2-t/2
describes the number of football games, N that must be played in... (answered by checkley75)
The formula N=t^2-t/2
The formula describes the number of football games. N, that must (answered by stanbon)