SOLUTION: In the 2016-2017 NBA regular season, the Golden State Warriors won 7 more than four times as many games as they lost. The Warriors played 82 games. How many wins and losses did t

Algebra ->  College  -> Linear Algebra -> SOLUTION: In the 2016-2017 NBA regular season, the Golden State Warriors won 7 more than four times as many games as they lost. The Warriors played 82 games. How many wins and losses did t      Log On


   

Question 1196278: In the 2016-2017 NBA regular season, the Golden State Warriors won 7 more
than four times as many games as they lost. The Warriors played 82 games.
How many wins and losses did the team have?
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

# lost: x
# won:+4x%2B7
-----
Equation:
+x+%2B+4x%2B7+=+82
+5x+=+82-7
+5x+=+75
+x+=+15-> (losses )
+4x%2B7+=+67-> (wins)

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.


            The solution by @MathLover1 is incorrect.
            I came to bring a correct solution. 


x wins

82-x losses


According to the problem

    x = 4*(82-x) + 7.


Simplify and find x

    x = 328 - 4x + 7

    x + 4x = 328 + 7

      5x   =   335

       x   = 335/5 = 67.


ANSWER.  67 wins,  82-67 = 15 losses.


CHECK.  4*15 + 7 = 67 wins.   ! Correct !

Solved.

===============

She fixed/corrected her solution after seeing my post.