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?
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