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In our school netball league a team gains a certain whole number of points if it wins a game, a lower whole number of points if it draws a game and no points if it loses a game. After 10 games my team has won 7 games, drawn 3 and gained 44 points. My sister's team has won 5 games, drawn 2 and lost 3. How many points has her team gained?

 Nov 20, 2019
 #1
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In our school netball league a team gains a certain whole number of points if it wins a game, a lower whole number of points if it draws a game and no points if it loses a game. After 10 games my team has won 7 games, drawn 3 and gained 44 points. My sister's team has won 5 games, drawn 2 and lost 3. How many points has her team gained?     

 

Since 5 points are awarded for a win and 3 points for a draw, your sister's team has earned 31 points. 

 

The way I did it was by dividing 44 points by 10 games, which gave me 4.4.  Then I just tried the whole numbers around 4.4.  The first ones I tried were 5 & 3 and they worked.  I tried 6 & 2 and they don't work.

 

 

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 Nov 21, 2019
edited by Guest  Nov 21, 2019
edited by Guest  Nov 21, 2019
 #2
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You cant do 44/10 this is because 44 is not the max amount of points you can get! 

nyxLeauge  Nov 21, 2019
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Regarding your "You cant do 44/10 this is because 44 is not the max amount of points you can get!"    

 

Sure I can.  It worked didn't it!  I didn't "do" 44/10 for the reason that it was the maximum amount of points possible, but because it was the amount of points the team DID get. 

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Guest Nov 21, 2019
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 The answer is 31. This is because if he has 7w and 3d it means that 7w+3d=44. From this we know that one W is bigger then 1 but smaller then seven. A win cannot be 6 points because then a draw would be 0.666 repeated! That means that it is 5,4,3,or 2. If we plug in 5 then we will get that one draw is 3 points! After we find this we can do 5*5+3*2+0 because she has 5 wins, 2 draws, and 3 losses and because a win is 5 points, a draw is 3 points, and a loss is 0 points the answer is 31! Hope you liked my explanation!smileysmileysmiley

 Nov 21, 2019

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