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Mixture question

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Joined: 30 Sep 2018
Posts: 2
Mixture question  [#permalink]

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New post 04 Oct 2018, 03:10
Two container A and B have same capacity.In container A,petrol and diesal are in the ratio of 1:3 and this ratio is 1:4 for container B.Half of the quantity of container A is poured in tank B and then same quantity of the resulting mixture is again poured back in container A. What is the ratio of petrol and diesel in the resulting mixture of container A?

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Location: Canada
Concentration: Entrepreneurship, Operations
GMAT 1: 630 Q48 V28
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Re: Mixture question  [#permalink]

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New post 04 Oct 2018, 03:53
1
Georgia wrote:
Two container A and B have same capacity.In container A,petrol and diesal are in the ratio of 1:3 and this ratio is 1:4 for container B.Half of the quantity of container A is poured in tank B and then same quantity of the resulting mixture is again poured back in container A. What is the ratio of petrol and diesel in the resulting mixture of container A?

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let the initial volume of the solutions be 60 ( LCM of 1+3,1+4 3( as we move 1/2 of a to B , at this point vol ratio of a & B will be 1:3))
( 60 is an easy number .....in this case)
Initial : Soln A: Total=60 Petrol=15 Diesel=45 & Soln B: Total=60 Petrol=12 Diesel=48
Just removing 1/2 from A : Soln A: Total=30 Petrol=7.5 Diesel=22.5 & Soln B: Total=60 Petrol=12 Diesel=48
After 1st Iteration( adding removed half to B : Soln A: Total=30 Petrol=7.5 Diesel=22.5 & Soln B: Total= 90 Petrol= 19.5 Diesel= 70.5
Just removing 30(1/3) from B : Soln A: Total=30 Petrol=7.5 Diesel=22.5 & Soln B: Total= 60 Petrol= 13 Diesel=47
After 2nd Iteration( adding removed half to A : Soln A: Total= 60 Petrol=14 Diesel=46 & Soln B: Total= 60 Petrol= 13 Diesel=47

P: D in A = 14:46=7:23
_________________

Please let me know if I am going in wrong direction.
Thanks in appreciation.

GMAT Club Bot
Re: Mixture question &nbs [#permalink] 04 Oct 2018, 03:53
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