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Half of the volume of the milk and water mixture of ratio 7:5 is conve

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excelingmat
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Half of the volume of the milk and water mixture of ratio 7:5 is conve [#permalink] New post   13 Oct 2015, 20:54
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Half of the volume of the milk and water mixture of ratio 7:5 is converted into a mixture of ratio 3:1 by the substitution(or replacement method) the mixture of ratio 7:5 was formed from the mixture 7:3 by adding the water in it. if 240 L milk is required in the replacement method ,what it the total amount of water was added t6o prepare the mixture 7:5 ?

a) 100 L
b) 50 L
c) 400 L
d) 300 L
e) 200 L

Source - NCERT
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EMPOWERgmatRichC
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Re: Half of the volume of the milk and water mixture of ratio 7:5 is conve [#permalink] New post   13 Oct 2015, 23:02
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Hi excelingmat,

You've posted several questions from NCERT, but none of them appear to be written in proper GMAT 'style', so I have to ask: Are these meant to be taken as GMAT questions or are they more akin to general 'math' questions?

If you're training to take the GMAT, then you really should focus on GMAT-centric materials (and there are plenty to choose from).

GMAT assassins aren't born, they're made,
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Re: Half of the volume of the milk and water mixture of ratio 7:5 is conve [#permalink] New post   13 Oct 2015, 23:43
EMPOWERgmatRichC wrote:
Hi excelingmat,

You've posted several questions from NCERT, but none of them appear to be written in proper GMAT 'style', so I have to ask: Are these meant to be taken as GMAT questions or are they more akin to general 'math' questions?

If you're training to take the GMAT, then you really should focus on GMAT-centric materials (and there are plenty to choose from).

GMAT assassins aren't born, they're made,
Rich


Hi Rich,

This is meant to be taken as a GMAT question. I found this question to a be a little tricky, which is why I've posted it here.
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Re: Half of the volume of the milk and water mixture of ratio 7:5 is conve [#permalink] New post   14 Oct 2015, 10:15
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HI excelingmat,

Just to clarify - is the 'source' of this question calling it a 'GMAT question' or are you just practicing with it as part of your studies?

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Half of the volume of the milk and water mixture of ratio 7:5 is conve [#permalink] New post   18 Dec 2015, 18:38
i don't think it is a gmat style question.
look at the question stem, what does 3:1 stand for? this information is relevant somehow? i have re-read the question several times
what does it want?
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Half of the volume of the milk and water mixture of ratio 7:5 is conve [#permalink] New post   18 Dec 2015, 19:56
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excelingmat wrote:
Half of the volume of the milk and water mixture of ratio 7:5 is converted into a mixture of ratio 3:1 by the substitution(or replacement method) the mixture of ratio 7:5 was formed from the mixture 7:3 by adding the water in it. if 240 L milk is required in the replacement method ,what it the total amount of water was added t6o prepare the mixture 7:5 ?

a) 100 L
b) 50 L
c) 400 L
d) 300 L
e) 200 L

Source - NCERT



Hi,
ofcourse, this Q is not a typical GMAT Q and also not properly replicated from source..
but still lets solve it..
2 actions have been done on the mix...
1)7:3 is converted into 7:5 mix..
2) half of the mix of 7:5 is converted in 3:1 by adding/replacement of 240l milk..

lets start with action (2) as more info is given there..
let the mix common ratio be 2x..
so total sol = milk:water=7*2x:5*2x
240 l milk is added to half of it to make it 3:1..
so (7x+240)/5x =3:1..
we get x=30 or 2x=60..
so the sol is 7*60:5*60=420:300..

now we look at the first action ..
this was created from 7:3 mix...
so say x was added to get this ratio...
so 420/(300-x)=7/3..
here x =120..
but 120 does not seem to be a choice..

now, let us do by replacement but that only makes the question complicated and unlike a GMAT question.
Initial Ratio- 7*2x:5*2x
240 litre milk is added while 240 l of mix is removed. In this 240 l of mix we remove 240*7/12 or 140 l of milk.
Thus, the final product has 240-140 or 100 litre milk added to it instead of 100 l of water.

(7x+100)/(5x-100)=3/1
7x+100=15x-300 or 8x=400 or 2x=100
So initial quantity = 7*100:5*100 = 700:500

Let us say that y is removed in initial quantity to get it to 7:3 ratio
Thus, 700/(500-y)=7/3 or 2100=3500-7y or y=200
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Half of the volume of the milk and water mixture of ratio 7:5 is conve [#permalink] New post   09 Nov 2016, 07:03
excelingmat wrote:
Half of the volume of the milk and water mixture of ratio 7:5 is converted into a mixture of ratio 3:1 by the substitution(or replacement method) the mixture of ratio 7:5 was formed from the mixture 7:3 by adding the water in it. if 240 L milk is required in the replacement method ,what it the total amount of water was added t6o prepare the mixture 7:5 ?

a) 100 L
b) 50 L
c) 400 L
d) 300 L
e) 200 L

Source - NCERT


+1 for 120 as the answer..if the question is interpreted as is interpreted by chetan2u; other than that, worst wording.
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Re: Half of the volume of the milk and water mixture of ratio 7:5 is conve [#permalink] New post   22 May 2022, 08:31
Bunuel

This question should be removed because it unnecessarily consumes limited available time of GMAT students which does not appear to belong in GMAT syllabus. Also, the expert solution of this ques by chetan2u does not match with the answer choices.
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Re: Half of the volume of the milk and water mixture of ratio 7:5 is conve [#permalink] New post   18 Jun 2022, 05:30
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Here is another way of solving this Problem..

Hope it helps..
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Re: Half of the volume of the milk and water mixture of ratio 7:5 is conve [#permalink]
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