[tex]\boldsymbol{\mathbf{Answer}}[/tex]
\boldsymbol{\mathbf{4 ounces water we need to add.}}
[tex]\boldsymbol{\mathbf{Step-by-step explanation}}[/tex]
An after shave lotion contains 45% of ethyl alcohol
i.e 100% - 45% = 65% nonalcoholic
As mentioned, we have 8 ounces of fluid and that contains 45% of ethyl alcohol.
[tex]{=\,8}\times{0.45}[/tex]
i.e [tex]\boldsymbol{\mathbf{3.6 ounces alcohol.}}[/tex]
We need fluid which 70% nonalcoholic.
i.e 100 - 70 = 30% of alcohol.
Then there is already 3.6 ounces of alcohol in fluid.
As required, Let consider 3.6 ounce is 30% of alcohol.
70% must be other liquid.
That is equal to =
= [tex]\boldsymbol{\mathbf{\frac{3.6}{0.3}\times{0.7}}}[/tex]
= 8.4 Ounces Of other liquid.
Then total ounces of the lotion is
= 3.6 + 8.4
= 12 ounces.
Water required to add is,
= 12 - 8
= [tex]\boldsymbol{\mathbf{4 ounces}}[/tex]
