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Re: 2/5 th of mixture of milk and water is replaced [#permalink]
Carcass Yes, but I posted here to get other approaches (if possible).... different methods seem interesting to me..Hope you would take it positively..Thank You

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Re: 2/5 th of mixture of milk and water is replaced [#permalink]
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I found this method quicker:
Let x amount of initial milk.
3/5x / 3/5(x+20) = 4/5
so x(initial) = 80
Present amount of milk = 3/5*80 = 48
Present amount of water = 3/5*(80+20) = 60
Present amount of orange = 2/5*(80+100) = 72
Milk + orange = 120.
SO we must take out 54.
In terms of percentage : (54/120)*100 = 45
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Re: 2/5 th of mixture of milk and water is replaced [#permalink]
Can such questions come in gre ??. This is highly unsolvable question . Why is this question even here ????
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Re: 2/5 th of mixture of milk and water is replaced [#permalink]
Expert Reply
The question is more a GMAT question

However, the expert above karun which is a GRE instructor solve it in a pretty straightforward manner

I also think it could be a legit question for the GRE, even though I did not post it

The question is lòocated here on GC https://gmatclub.com/forum/2-5-th-of-mi ... 47986.html

And the approaches are not so complicated, indeed.
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Re: 2/5 th of mixture of milk and water is replaced [#permalink]
1
Let initial volume of water be x

So volume of milk = x-20

Total volume = 2x-20

Volume of orange juice = 2/5(2x-20)

= 4x-40/5

Volume of mixture left = 3/5(2x-20)

= 6x-60/5

New volume of milk

x-20/2x-20(6x-60/5)

= 6x-120/10


New volume of water

x/2x-20(2x-20)

= 3x/5


Therefore

5/15(2x-20) = 3x/5

10x-100/15 = 3x/5


50x - 500 = 45x

x= 100


Substituting for x gives milk, water and orange to be 48, 60 and 72.

If we need sum of milk and orange juice to be 66 that means they have to lose 48 + 72 = 120

120-66 = 54

We know that ratio of milk water and orange juice is 4:5:6

Now let amount needed to be removed from mixture be a

4a/15 + 6a/15 = 54

10a = 810

a = 81

Percent of resulting mixture

81/180 x 100 = 45

Answer C

Adewale Fasipe, quant instructor Lagos Nigeria.
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Re: 2/5 th of mixture of milk and water is replaced [#permalink]
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