Question

what is a “drink”?

• a standard drink is 1/2 ounce of pure ethyl alcohol.

•that equals..
•___ oz. beer
•10 oz. wine cooler
•___ oz. wine
•1 1/2 oz. 80 proof liquor
•1 1/4 oz. 100 proof liquor
*proof is double the percentage of the liquor (pure alcohol would be 200% proof)

Explanation:

Step1: Determine alcohol - content relationships

Beer typically has about 5% alcohol by volume, wine about 12% alcohol by volume.

Step2: Calculate ounces of beer

Let the volume of beer be $x$ ounces. Since the amount of pure alcohol in a standard drink is $\frac{1}{2}$ ounce and beer is 5% alcohol, we have the equation $0.05x=\frac{1}{2}$. Solving for $x$, we get $x = \frac{\frac{1}{2}}{0.05}=\frac{1}{2}\div0.05 = 12$ ounces.

Step3: Calculate ounces of wine

Let the volume of wine be $y$ ounces. Since wine is 12% alcohol and the amount of pure alcohol in a standard drink is $\frac{1}{2}$ ounce, we have the equation $0.12y=\frac{1}{2}$. Solving for $y$, we get $y=\frac{\frac{1}{2}}{0.12}=\frac{1}{2}\div0.12=\frac{1}{2}\times\frac{100}{12}=\frac{25}{6}\approx4.17$ ounces.

Answer:

12 oz. beer
4.17 oz. wine