SOLUTION: A team won exactly 4 of their first 15 games. They then played N remaining games and won all of them. If they won exactly half of all the games they played, what is the value of N?

Algebra ->  Equations -> SOLUTION: A team won exactly 4 of their first 15 games. They then played N remaining games and won all of them. If they won exactly half of all the games they played, what is the value of N?      Log On


   



Question 1121105: A team won exactly 4 of their first 15 games. They then played N remaining games and won all of them. If they won exactly half of all the games they played, what is the value of N?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A team won exactly 4 of their first 15 games.
They then played N remaining games and won all of them.
If they won exactly half of all the games they played,
what is the value of N?
:
2(4 + n) = (15 + n)
8 + 2n = 15 + n
2n - n = 15 - 8
n = 7 games
:
Check
they won: 4 + 7 = 11 games
total games: 15 + 7 = 22 games