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How many games won?

A team played 62 games.  They won 32 more games than they lost.  How many games did they win?

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Shelly J. | Excellent Maths Tutoring for academic successExcellent Maths Tutoring for academic su...
5.0 5.0 (261 lesson ratings) (261)
Hi Mary,
A team played 62 games.
Let the number of games they lost=x
They won 32 more games than they lost
Number of games they won =32+x
Number of games lost+number of games won=Total number of games
Number of games they lost=15
Number of games they won =32+x=32+15=47


It is more constructive to answer an unanswered question, than to  duplicate an already provided answer.
Philip P. | Effective and Affordable Math TutorEffective and Affordable Math Tutor
5.0 5.0 (437 lesson ratings) (437)
Total number of games played = 62
Let x = the unknown number of games won
From the problem, we know that the team won 32 more games than they lost.  The number of games they lost  = x - 32  They lost 32 fewer games than they won
Now we know that the number of games won + the number of games lost = 62
x + (x -32) = 62
2x - 32 = 62
Now solve for x, the number of games won.  Let me know what you get!


2x - 32 = 62
To find x:
  1. Add 32 to both sides
  2. Then divide both sides by 2
Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
 It would be same if it was said that Peggy and Sally together spent 62 dollars on shopping mall , if Sally spent 32 dollars more how much each spent.
  The key to word problem is choose a variable , X , for the unknown what the problem is asking you to find out, and convert the word problem to algebraic statement in terms of the variable chosen and solve.
    X - amount of money Sally spent, or games lost
    X + 32 - amount of money peggy spent ,or game won.
     X + X + 32 = 62
       Solve for X.
      This is an example of math talks about relationship between 2 objects regardless of the nature of the objects.