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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?

 Feb 17, 2020
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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

 

 

cool cool cool

 Feb 17, 2020

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