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3 September, 21:40

A vat with 700 gallons of beer contains 4% alcohol (by volume). Beer with 6% alcohol is pumped into the vat at a rate of 7 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour

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  1. 3 September, 23:17
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    5.2%.

    Step-by-step explanation:

    After 1 hour (60 / 100) * 700 = 420 gallons of beer have been exchanged.

    So we have 420 gallons of 6% and 280 gallons of 4% after 1 hour.

    So the strength at that time = (420 * 6) + 280*4) / 700

    = 5.2%.
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