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28 votes
20 gallons of a 15% alcohol solution are mixed with 30 gallons of a 10% alcohol solution what is the alcohol concentration of the mixture ?

User Chapman Atwell
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1 Answer

15 votes
15 votes

the alcohol concentration of the mixture is 12%

Step-by-step explanation:

concentration for the 20 gallons = 15%

concentration for the 30 gallons = 10%

let the concentration of the alcohol mixture = y

concentration × amount for 20 gallons + concentration × amount for the 30 gallons = concentration of the mixture × total gallons

Total gallons = 20 + 30 = 50

15% × 20 + 10% × 30 = y × 50

0.15 × 20 + 0.1 × 30 = 50y

3 + 3 = 50y

6 = 50y

y = 6/50

y = 0.12

y = 0.12 = 12/100 = 12%

Hence, the alcohol concentration of the mixture is 12%

User Dtlussier
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