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

Question

Sawyer

Mathematics

19 September, 05:17

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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Answers (1)

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Antwan Cooke · Answer 1

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%.