ujjagrawal Posted June 12, 2012 Report Share Posted June 12, 2012 Four black cows and three brown cows give as much milk in five days as three black cows and five brown cows give in four days. Which color cow gives the most milk? Quote Link to comment Share on other sites More sharing options...

0 bonanova Posted June 12, 2012 Report Share Posted June 12, 2012 Four black cows and three brown cows give as much milk in five days as three black cows and five brown cows give in four days. Which color cow gives the most milk? Brown cows give more. in the ratio of 8 to 5. Quote Link to comment Share on other sites More sharing options...

0 MikeD Posted June 12, 2012 Report Share Posted June 12, 2012 Brown cows produce more milk. (8/5 times more) My reasoning days = d Black cows = l Brown cows = r 5d(4l + 3r) = 4d(3l + 5r) 20dl + 15dr = 12dl + 20dr 20dl - 12dl = 20dr - 15dr 8dl = 5dr 8l = 5r Therefore we would need 8 black cow to give the same amount of milk as 5 brown cows. (Been a while since I was in school but i think the above is correct. Quote Link to comment Share on other sites More sharing options...

0 bhramarraj Posted June 12, 2012 Report Share Posted June 12, 2012 (edited) Mathematical Solution: 1 black cow gives A liter milk in one day, one brown cow B liter. 4 black cows and 3 brown cows will give 4*5A+3*5B liter milk in 5 days. And 3 black + 5 brown cows will give 3*4A+5*4B liter in 4 days. Both are equal as per OP. So 4*5A+3*5B=3*4A+5*4B 8A=5B Therefore B > A Logical Solution: Let us assume both – black & brown - cows gave equal milk in one day. Then from first statement 7 cows in 5 days give as much milk as from second statement 8 cows give in 4days. So number of cows increased is only ONE (brown cow) which APPARENTLY gave as much milk in 4 days as given by 7 cows in one day. From above it is clear that Brown cow gives more milk than black cow. Edited June 12, 2012 by bhramarraj Quote Link to comment Share on other sites More sharing options...

0 ujjagrawal Posted June 13, 2012 Author Report Share Posted June 13, 2012 Mathematical Solution: 1 black cow gives A liter milk in one day, one brown cow B liter. 4 black cows and 3 brown cows will give 4*5A+3*5B liter milk in 5 days. And 3 black + 5 brown cows will give 3*4A+5*4B liter in 4 days. Both are equal as per OP. So 4*5A+3*5B=3*4A+5*4B 8A=5B Therefore B > A Logical Solution: Let us assume both – black & brown - cows gave equal milk in one day. Then from first statement 7 cows in 5 days give as much milk as from second statement 8 cows give in 4days. So number of cows increased is only ONE (brown cow) which APPARENTLY gave as much milk in 4 days as given by 7 cows in one day. From above it is clear that Brown cow gives more milk than black cow. That's it... all of you had got the correct answer... Quote Link to comment Share on other sites More sharing options...

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## ujjagrawal

Four black cows and three brown cows give as much milk in five days as three black cows and five brown cows give in four days. Which color cow gives the most milk?

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