More Puzzles

   Log inLog in 
 RegisterRegister Immediately 

Very Easy Logic Problems
i have a bag, with some balls in it

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

Sat Sep 25, 2010 4:39 pm  by Legolas_Acer

5. right?
Thu Dec 23, 2010 5:45 am  by Rag

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

Number of blue balls = x-4
Number of green balls = x-4
Number of red balls = x-4

Total number of balls = 3x-12

But we took the original number of balls to be 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 = x-4
Number of green balls = x-4
Number of red balls = x-4
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
Reply to topic
      All times are GMT
Page 1 of 1


Discussion Board Forum Index