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How many games won?

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3 Answers

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
 
x+32+x=62
 
2x=62-32
 
2x=30
 
2x/2=30/2
 
x=15
 
Number of games they lost=15
 
Number of games they won =32+x=32+15=47
 
 

Comments

It is more constructive to answer an unanswered question, than to  duplicate an already provided answer.

Comment

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!

Comments

2x - 32 = 62
 
To find x:
  1. Add 32 to both sides
  2. Then divide both sides by 2

Comment

 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.