Mixtures

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Mixtures

by rajan_agarwal » Mon Dec 07, 2015 2:56 am
Q. ) If there is 3/4 of milk and 1/4 of water in a solution, 100 ml is removed and the solution of water is now 250 ml, find the flask which can fit the entire solution now

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by MartyMurray » Mon Dec 07, 2015 4:02 am
If the solution is 1/4 water, then 250 ml = 1/4

The volume of all of the solution is 250 x 4 = 1000ml
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by ararjun » Tue Dec 08, 2015 12:45 am
rajan_agarwal wrote:Q. ) If there is 3/4 of milk and 1/4 of water in a solution, 100 ml is removed and the solution of water is now 250 ml, find the flask which can fit the entire solution now
Volume of the solution = x
milk in the solution = 0.75x
water in the solution = 0.25x

100 ml is removed and the solution of water is now 250 ml
0.25x - 0.25*100 = 250
0.25x = 275
x = 1100

Volume of the flask that fits the entire solution now = 1100 - 100 = 1000 mL

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by Matt@VeritasPrep » Fri Dec 11, 2015 3:05 pm
100 ml of what is removed, of the solution?

Then we'd have:

Original solution = s
Milk = (3/4)s
Water = (1/4)s

New solution = (s - 100)
New water = (1/4)s - 25

We're told that (1/4)s - 25 = 250, or 1/4s = 275.

So the solution was originally 1100 ml, and is now 1000 ml.