How many games won?

Question

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

Answer 1

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

 

 

Answer 2

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!

Answer 3

 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.