Question

A mixture of alcohol and water contains a total of 50 ounces of liquid. There are 10 ounces of pure alcohol in the mixture .what percentage of the mixture is water? What percent is alcohol?

Answer 1

so, the mixture is 50oz, 10 of those is alcohol, the rest is water, or 40oz

what's 40 in percentage of 50? well, if we take the 50 to be the 100%, then
`\bf \begin{array}{ccllll} amount&\%\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ 50&100\\ 40&x \end{array}\implies \cfrac{50}{40}=\cfrac{100}{x}`

how much is 10 in percentage of 50? well
`\bf \begin{array}{ccllll} amount&\%\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ 50&100\\ 10&x \end{array}\implies \cfrac{50}{10}=\cfrac{100}{x}`

solve for "x" in each