Answer:
52.58 liters
Step-by-step explanation:
You want the number of liters of 18% ethanol mouthwash that can be made from 2.5 gallons of 100% ethanol.
The number of gallons of mouthwash (m) that can be made from 2.5 gallons of pure ethanol (e) will be ...
e = 18%×m
m = e/0.18 = 2.5/0.18 ≈ 13.88889 . . . . gallons
The number of liters equivalent to 13.88889 gallons is about ...
[tex]13\dfrac{8}{9}\text{ gal}\times\dfrac{3.785411784 \text{ L}}{1\text{ gal}}\approx52.5752\text{ L}[/tex]
About 52.58 liters of mouthwash can be made from 2.5 gallons of ethanol.