A jar is filled with liquid, 3 parts of which are water and 5 parts syrup.
How much of the mixture must be drawn off and replaced with water so that the mixture may be half water and half syrup? Select the correct option from below;
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Lets assume that we take x part of the mixture out, and assuming uniform distribution of water and syrup, we can say out of the x part, 3x/8 was water and 5x/8 was syrup, now on replacing this x part by water, both water and syrup part should become equal, we can form the below equation.
Water Part = Syrup part
3 – 3x/8 + x = 5 – 5x/8
x + 2x/8 = 2
5x/4 = 2
x = 8/5
initially total quantity was 8(i.e. 3+5), and we should take out 1/5th part out and replace it with water to make both equal.