Answer:
The percentage of alcohol in the resulting mixture is 30%
Step-by-step explanation:
The equation given are;
Volume of added water = 1 gallon = 3.79 litres = 4 quarts
Volume of mixture of alcohol = 6 quarts = 5.68 litres
Concentration of the alcohol in 6 quarts = 50%
Given that the mixture of alcohol and water is 50% alcohol and 50% water, we have;
Volume of 100% alcohol in 5.68 liters = 0.5× 5.68 = 2.84 litres = 3 quartz
Total volume of the final solution = 5.68 + 3.78 = 9.46 litres = 10 quarts
Percentage by volume of 100% alcohol in total volume of the resultant solution = 3 quarts/((4 + 6) quarts) × 100 = 3/10 × 100 = 30%
The percentage of alcohol in the resulting mixture = 30%.
