puzzle for you
hi.... try this puzzle
there are two solutions containing water & milk in the ratio 1:4 & 1:5.
now they mixed. so what is the ratio of water & milk in new solution
the given choices..
a) 2:9 b)5:9 c)9:20 d)5:20
there are two solutions containing water & milk in the ratio 1:4 & 1:5.
now they mixed. so what is the ratio of water & milk in new solution
the given choices..
a) 2:9 b)5:9 c)9:20 d)5:20
Replies

rick
Let there be 30 litres of each solution.aditihi.... try this puzzle
there are two solutions containing water & milk in the ratio 1:4 & 1:5.
now they mixed. so what is the ratio of water & milk in new solution
the given choices..
a) 2:9 b)5:9 c)9:20 d)5:20
So quantity of Water & Milk in first solution is 6 litre & 24 litre, respectively.
similarly, quantity of Water & Milk in second solution is 5 litre & 25 litre, respectively.
If the two solutions are added, total quantity of solutions = 60 litre.
Qutantity of water = 6 + 5 = 11 litre.
Quantity of milk = 24 + 25 = 49 litre.
Required ratio = 11/49
๐ ... have you verified the options?
Rick 
aditii tried and got the same ans as yours but it is not in the option..๐

rickDon't worry, the options are wrong ๐ . The approach is right and all the steps are right. The answer has to be right !
Rick 
karthick200621result
water : 1/5 + 1/6
milk : 4/5 + 5/6
answer : 11: 49
no option there
always try to do it simple and save time 
aashimawell
i too got the same answer as 11:49 ๐ aditi i suppose there lies some fault in the question only then. 
NehaSame here,even I got the answer as 11:49..check the options again.
Aditi,u can use the thread aptitude for such questions and your problems. 
Anil Jain
I am pretty sure that there is no crap in this question...nehaSame here,even I got the answer as 11:49..check the options again.
Aditi,u can use the thread aptitude for such questions and your problems.
Only Choice's are wrong...
Just explainnig a bit why rick take 30 liters in his assumption...
in first solution ratio is 1:4 so (total 5 say..) in second solution ratio is 1:5 (total 6 say..) and to reduce the fractions calculation he tool the LCM of 5 and 6 so it will reduce his calculations...
Hey post answer...and A new question too with correct answer choices 
Kaustubh Katdare((bumpp))
Dead thread. We are low on math puzzles again ๐
The Big K 
integratdbrainsI think the answer is
I don't know how i missed this one but I think rick u are exactly on the right track but the point where my solution differs is if you are considering 1part of water as 6 for the first solution then why are you taking the same unit i.e. 1 unit of same liquid i.e. water as 5 in the other solution? So worked it out that way it will come to 2:9 which exists in the options provided. so aditi whats the answer? i think its long time plz post in the answer.๐rickLet there be 30 litres of each solution.
So quantity of Water & Milk in first solution is 6 litre & 24 litre, respectively.
similarly, quantity of Water & Milk in second solution is 5 litre & 25 litre, respectively.
If the two solutions are added, total quantity of solutions = 60 litre.
Qutantity of water = 6 + 5 = 11 litre.
Quantity of milk = 24 + 25 = 49 litre.
Required ratio = 11/49
๐ ... have you verified the options?
Rick 
Jerry
I could not get your point. I think Rick has the perfect answer. How did you get 2:9 ?integratdbrainsI don't know how i missed this one but I think rick u are exactly on the right track but the point where my solution differs is if you are considering 1part of water as 6 for the first solution then why are you taking the same unit i.e. 1 unit of same liquid i.e. water as 5 in the other solution? So worked it out that way it will come to 2:9 which exists in the options provided. so aditi whats the answer? i think its long time plz post in the answer.๐
Jerry 
integratdbrainswait for the answer
Actually jerry i donot claim to be correct so lets wait for aditi to post the answer then if its correct i will surely post in the solution! ๐ 
Mayur Pathakright answer
correct answer is 2:9
I think explaination by integratd brains is right. 
aditihi all......
i dont know the answer.. i found it somewhere and thought to put it on ce... 
Kaustubh KatdareMath Guru drops in
(bump) (bump)
Math Guru drops in ๐ ! I noticed that we have conflicting solutions for a stupid math problem and decided to separate milk & water.
The trouble starts here 
Let there be 30 litres of each solution.
Does the problem mention that we have "equal quantities" of both the solutions? Why assume?
The problem is as simple as
"1 part of milk from first solution mixes with 1 part of milk from second solution"
&
"4 parts of water mix with 5 parts of water from second solution"
Therefore, the new solution will have Milk:Water :: 2:9 ๐
I hope this helps. Remember: Keep It Simple & Stupid!
The Big K 
MaheshHi Biggie,
Can u explain same soln if we take equal quantities that to same 30L? 
Kaustubh Katdare
Mahesh, the problem does not talk about equal quantities. The reasoning by Rick is perfect except that we cannot have equal quantities of the solutions.MaheshHi Biggie,
Can u explain same soln if we take equal quantities that to same 30L?
The Big K 
gautyaaacorrect answer is 2:9......
in 1st sol.
water>1lt
milk>4lt
in 2nd sol.
water>1lt
milk>5lt
total>11lt.
check in d options >2+9==11๐
how can u question d question....lol๐
You are reading an archived discussion.
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