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?
[A].
10
[B].
20
[C].
21
[D].
25
Answer: Option E
Explanation:
Suppose the can initially contains 7x and 5x of mixtures A and B respectively.
Total mixer is x.
A=7x/12 B=5x/12
after drawn 9 lit of mixer........
mixer remain(x-9)
So the new ratio of A:B is ...
A=7(x-9)/12 and B=5(x-9)/12
now drawn 9 lit filled with B
so B now contain B=5(x-9)+9/12...........
now the new ratio of mixer is A:B=7:9
we know the new value of A and B...........put that in this equation
7(x-9)/12:(5(x-9)+9)=7:9-------if u calculate further u ll get the X value as 36
Put that x value in A=7x/12, so here you can get answer of A contain initially.
Sree said:
(Sun, Jun 12, 2011 02:38:06 PM)
Hi Debjyoti,
Can you give the explination how you got x=36 using below equation?
7(x-9)/12:(5(x-9)+9) = 7:9
Karthikeyini said:
(Sun, Jun 26, 2011 05:52:56 AM)
(7x-(21/4))/((5x-(15/4))+9)
In this term how 9 occured at the end ? Can anyone explain this ?
Prithvi Chauhan said:
(Sun, Jun 26, 2011 08:24:32 AM)
Please can you explain in any other simple way?
Gowtham said:
(Sat, Sep 3, 2011 04:36:50 PM)
Hi guys,
Find the pure liqued of A in initial
Assume pure liqued x,
Quantity of a measured left formula=(pure A liquid - mix liquid)
Pure liquid of A=7x
Mix liquid of A=(7/12)*9
here 9 is also mixture
So, quantity of a measured left A=(7x-(7/12)*9)=7x-21/4
the same rule
quantity of a measured left B=(5x-(5/12)*9)=5x-15/4
(7x-(21/4)/5x-(15/4)+9)=7/9
Given here that 9 is add with b
ans x=3
ratio of 7
So=7*3=21 that all
San said:
(Mon, Sep 19, 2011 06:04:10 AM)
Is there any easy way to do it ?
Preethi said:
(Wed, Sep 21, 2011 07:03:42 PM)
Any simple method please.
Silu said:
(Sat, Oct 15, 2011 07:45:41 PM)
Total mixer is x.
A=7x/12 B=5x/12
after drawn 9 lit of mixer........
mixer remain(x-9)
So the new ratio of A:B is ...
A=7(x-9)/12 and B=5(x-9)/12
now drawn 9 lit filled with B
so B now contain B=5(x-9)/12 +9...........
now the new ratio of mixer is A:B=7:9
we know the new value of A and B...........put that in this equation
