SOLUTION: a basketball team had a ratio of wins to losses of 3 to 1.after winning six games in a row, the team's ratio of wins to losses was 5 to 1. how many games had the team won before it

Algebra ->  Probability-and-statistics -> SOLUTION: a basketball team had a ratio of wins to losses of 3 to 1.after winning six games in a row, the team's ratio of wins to losses was 5 to 1. how many games had the team won before it      Log On


   



Question 1043256: a basketball team had a ratio of wins to losses of 3 to 1.after winning six games in a row, the team's ratio of wins to losses was 5 to 1. how many games had the team won before it won the six games?
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.
a basketball team had a ratio of wins to losses of 3 to 1.after winning six games in a row,
the team's ratio of wins to losses was 5 to 1. how many games had the team won before it won the six games?
~~~~~~~~~~~~~~~~~~~~~

W%2FL = 3,        (1)
%28W%2B6%29%2FL = 5.    (2)


Now distract equation (1) from equation (2) (both sides). You will get

%28W+%2B+6%29%2FL+-+W%2FL = 5-3,  or

6%2FL = 2.

It gives you  L = 6%2F2 = 3.

Then from (1)  W = 3L = 3*3 = 9.

Answer. 9 won.