top button
Flag Notify
    Connect to us
      Facebook Login
      Site Registration

Facebook Login
Site Registration

How many litres of liquid A was contained by the can initially?

0 votes
75 views

A can contains a mixture of two liquids A and B is the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9.
How many litres of liquid A was contained by the can initially?

posted Dec 8, 2015 by Parampreet Kaur

Share this puzzle
Facebook Share Button Twitter Share Button LinkedIn Share Button

1 Answer

0 votes

Initially, Liquid A = 21 litres
Say, initially amount of liquid A= X, and amount of liquid B = Y then,
X/(X+Y) = 7/12 => 12X= 7X+7Y => 5X=7Y
After drawing 9 litres of mixture and fillinf with 9 litre of liquid B;
(X-(7/12)(9))/(Y-(5/12)(9)+9) = 7/9
Solving, we get => (4X-21)/(4Y+21) = 7/9 => 36X-189=28Y+147 => 36X-28Y=336 => 9X-7Y = 84,
but, as we know, X=7Y/5, replacing we get => 9*7Y/5 - 7Y = 84 ==> 63Y-35Y = 420 ==> Y= 420/28 = 15
Hence, X=7*15/5 = 21

answer Dec 11, 2015 by anonymous



Similar Puzzles
0 votes

A can contains a mixture of two liquids A and B in proportion 7:5. When 9 litre of mixture are drawn off and the can is filled with B, the proportion of A and B becomes 7:9.
How many litres of liquid A was contained by the can initially.

0 votes

A container contains 80 kg of milk. From this container, 8 kg of milk was taken out and replaced by water. This process was further repeated two times.
How much milk is now contained by the container?

0 votes

A container contains 40 litres of milk. From this container 4 litres of milk was taken out and replaced by water. This process was repeated further two times.
How much milk is now contained by the container?

+1 vote

A car has travelled 60 kms at 60 kmph.

It started its journey with 8 litres of fuel, but its tank has been leaking throughout its journey and is now dry.

The car completes 40 kms per litre.

How many litres of fuel does it leak per hour?

0 votes

A tempo, while travelling at 75 kmph, uses 25% more petrol then it uses while travelling at 50 kmph for travelling a certain distance.
Using one litre of petrol, it can travel 22.5 km at 50 kmph.
How far can the tempo travel on 15 litres of petrol at a speed of 75 kmph?

...