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6 October, 04:05

A student assistant is cleaning up after a chemistry laboratory exercise and finds three one-liter bottles containing alcohol solutions. The first bottle is one-half full with a 20% alcohol solution, the second bottle is one-fifth full with a 30% alcohol solution, and the third bottle is one-tenth full with a 50% alcohol solution. The student pours the contents of all three bottles into an empty one-liter bottle. What is the approximate alcohol content of this mixed solution

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  1. 6 October, 04:33
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    The approximate alcohol content is 210 ml.

    Explanation:

    It can be deduced from the question that each bottle is of 1000ml or 1 litre.

    The first bottle is one half full means it has 500 ml of solution and it has 20% alcohol in it. So volume of alcohol in the solution is

    20/100*500

    =100 ml

    The first bottle is one fifth full, so the volume of mixture is 1/5th of 1000ml

    so it is 200ml having 30% alcohol

    30/100*200

    = 60 ml

    The third bottle is one tenth full so its volume is 1/10*1000

    100 ml. having 50% of alcohol

    50/100*100

    50 ml.

    The alcohol content obtained from all these 3 litres is:

    100+60+50

    = 210 ml of alchohol is obtained from 800 ml of mixture.
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