If you have two buckets, one with red paint and other with blue paint, and you take one cup from the blue bucket and pour it into the red bucket. Then you take one cup from the red bucket and pour it into the blue bucket. Which bucket has the higher ratio between red and blue? Prove it mathematically.

• [ ans : same ]
  
  let the volume of buckets be 2 L each represented by 2x and 2y ( x for bucket 1 and y for bucket 2).
  so initially A=2x , B=2y
  let the volume of cup be x.
  so after [ step 1 ] : one cup red paint from bucket 1 to 2
  A=x L and B = xL + 2yL.
  so ratio of paints Red:Blue in red bucket = 1:2
  
  [step 2] : one cup paint from bucket 2 to 1
  so B = x + 2y - [ (1/3)x + (2/3)y ] = 2x/3 + 4y/3
  and A= x + [ (1/3)x + (2/3)y ] = 4x/3 + 2y/3
  
  so coeff of x in a = coeef of y in B.
• 14 years agoHelpfull: Yes(6) No(1)
• let volume of paint in bucket=10 liter
  volume of cup = 1 liter
  bucket A= red paint
  Bucket B= Blue paint
  after step 1=> Bucket A= 11 liter = 10 liter red + 1 liter blue
  Bucket B= 9 liter blue
  
  now 1 liter of bucket A= 1/11 liter blue and 10/11 red
  
  after step 2=> Bucket A= 10 liter=100/11 red +10/11 blue
  red/blue= 1/10
  Bucket B= 10 liter
  = 9 liter blue+1/11 blue +10/11 red
  = 100/11 blue + 10/11 red .
  red/blue = 1/10
• 13 years agoHelpfull: Yes(3) No(0)
• Same.Bucket with red paint paint will have same ratio of red : blue as ratio of blue : red in blue paint bucket.
• 14 years agoHelpfull: Yes(2) No(6)
• Suppose 100% is size of mug and 10% is size of cup
  so transfer from red mug to blue mug of 10% than red=90% and blue=110%
  blue to red of 10% transfer than in red-90+11=101% and blue=110-11=99%
  red:blue=100:100 before after 101:99
• 14 years agoHelpfull: Yes(1) No(1)
• The bucket with red paint consist highest ratio between red and blue
  Cause:
  1st bucket 2nd bucket
  100ml red 100ml blue
  10ml mug is use
  now in first bucket 10ml blue is added
  so total 110ml mixture in 1st second 90ml blue
  
  second attempt we are taking 10ml from red bucket mixture
  in 110ml 100ml red and 10ml blue ratio is 10:1
  in 10ml 9.09ml red and 0.91ml blue
  remaining red 90.91 blue 9.19 ratio between red and blue is 90.91:9.19
  
  in blue red vl b 9.09ml and blue 90.81ml the ratio between red
  and blue is 9.09:90.81
  
  
• 13 years agoHelpfull: Yes(1) No(2)
• ANS:SAME
  SAME AS RED=BLUE......
• 13 years agoHelpfull: Yes(0) No(2)