An after-shave lotion contains 45% ethyl alcohol. How much water must be added to 8 fluid ounces of this lotion to reduce it to one which is 70% nonalcoholic?

Guest Feb 17, 2020

#1**+1 **

Note that water contains 0% ethyl alcohol

And 70% non-alcoholic = 30% alcohol

So....we have this equation wher x is the quantity (in ounces) of water to be added

.45 (8) + 0 (x) = .30 (8 + x) simplify

.36 = .24 + .30x subtract .24 from both sides

12 = .30x divide both sides by .30

x = 40 ounces of water

CPhill Feb 17, 2020