a 400ml mixture contains 15%alcohol. how much alcohol much be added so that the concentration of alcohol will become 32%.
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Step-by-step explanation:
Percentage of concentration of alcohol in the mixture = ((volume of alcohol in ml)/(volume of mixture in ml)) *100 .let the volume of alcohol be 'y'
So, 15%=(y/400)*100, 15=y/4 and y=15*4=60 ml.
Let the extra amount of alcohol that should be added be 'x'.
Now, concentration of alcohol after adding 'x'is 32%
So, 32%=((60+x)/(400+x))*100.
12800+32x=6000+100x
12800-6000=100x-32x
6800=68x
Therefore, x=(6800/68)
=100 ml
So, 100 ml of alcohol should be added
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