Sat Nov 21, 2009 6:50 am by tartle 


i have a bag, with some balls in it. all but 4 are blue, all but 4 are green, and all but 4 are red. how many balls do i have in total? 




Mon Nov 23, 2009 5:24 pm by rj82330 


Six 




Sat Sep 25, 2010 4:39 pm by Legolas_Acer 


5. right? 




Thu Dec 23, 2010 5:45 am by Rag 


12 




Fri Jun 17, 2011 9:42 am by einsteinager 


6 balls.
This is basically an english language problem, there's not much logic in this.
Lets say there are x balls
So,
Number of blue balls = x4
Number of green balls = x4
Number of red balls = x4
Total number of balls = 3x12
But we took the original number of balls to be x.
Therefore,
3x12=x
or, x=6 




Sun Jan 20, 2013 10:17 am by Quocamus 


The problem does not say that there are only blue, green, and red balls. There may be balls of other colors. In that case, there could be 1 blue, 1 green, 1 red, and 2 of other colors (say black and white).
Using einsteinager's math, this would look like:
Let x = total number of balls
Number of blue balls = x4
Number of green balls = x4
Number of red balls = x4
Number of other colored balls = y
x = 3(x  4) + y
x = 3x  12 + y
2x = 12  y
The only restriction on y is that it cannot be greater than x.
Values of y that produce positive integer results for x, with x >= y are:
y = {0, 2, 4}
Thus, there could be 2 other colored balls, and a total of 5 balls.
You could even logically say that there could be 4 balls of other colors, and no blue/green/red balls.
If the problem were to state that the bag only has blue, green, and red balls, then y would be 0, and the answer would be 6. 




Fri Oct 04, 2013 2:16 pm by alwinner 


4 because all but 4 are blue, green and red at the same time. Impossible, so these balls can't exist. This leaves 4 unaffected by this, so only four can exist in the bag. 




Wed Nov 20, 2013 6:12 am by camper4834 


The first guy got it right... six
2 blue, 2 green, 2 red
that means 2 blue and 4 that are NOT blue (red and green together)
therefore all but 4 are blue
same with other colors 




Thu Dec 12, 2013 8:31 pm by Shavil Maharaj 


there are more than 12 balls or just 12 balls in the bag 




Sun Dec 29, 2013 4:35 am by lauramay 


6 balls 




Mon Jun 15, 2015 10:49 am by johnvic 


6 balls 






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