High School

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Use the information on the previous page to solve the problems below:

1. A glass of wine contains 5 ounces. The wine is 10 percent alcohol.
- What is the proof?
- How many calories does this glass of wine contain?

2. A 12-ounce can of beer is five percent alcohol.
- What is its proof?
- How many calories are in the can of beer?

3. A 1-ounce drink of whiskey is poured from a bottle that is 80 proof.
- What is the percentage of alcohol in this drink?
- How many calories are in this drink?

Answer :

Sure! Let's go through the steps to solve each part of the question:

### Problem 1: Glass of Wine
- Alcohol Percentage: The wine is 10% alcohol.
- Proof Calculation: The proof is calculated by doubling the alcohol percentage. Therefore, the proof is [tex]\(10 \times 2 = 20\)[/tex].
- Calories in Wine:
- Each ounce of alcohol contains calories, and we're considering 7 calories per gram of alcohol.
- Calculate the calories for 5 ounces of wine containing 10% alcohol:
- Assuming 1 ounce equals approximately 28.3495 grams, the number of grams of alcohol per ounce is [tex]\(0.10 \times 28.3495\)[/tex].
- Calories per ounce = [tex]\(0.10 \times 28.3495 \times 7\)[/tex].
- Total calories for 5 ounces = [tex]\( \text{Calories per ounce} \times 5\)[/tex].
- Results for Wine:
- Proof: 20
- Calories: Approximately 99.22 calories

### Problem 2: Can of Beer
- Alcohol Percentage: The beer is 5% alcohol.
- Proof Calculation: The proof is double the percentage, so it is [tex]\(5 \times 2 = 10\)[/tex].
- Calories in Beer:
- Calculate the calories for a 12-ounce can of beer:
- Calories per ounce = [tex]\(0.05 \times 28.3495 \times 7\)[/tex].
- Total calories for 12 ounces = [tex]\( \text{Calories per ounce} \times 12\)[/tex].
- Results for Beer:
- Proof: 10
- Calories: Approximately 119.07 calories

### Problem 3: Drink of Whiskey
- Proof of Whiskey: The whiskey is 80 proof.
- Alcohol Percentage Calculation: The percentage of alcohol is half the proof, so it is [tex]\(80 / 2 = 40\% \)[/tex].
- Calories in Whiskey:
- Calculate the calories for a 1-ounce drink:
- Calories per ounce = [tex]\((40/100) \times 28.3495 \times 7\)[/tex].
- Since it's a 1-ounce drink, the total calories remain the same.
- Results for Whiskey:
- Alcohol Percentage: 40%
- Calories: Approximately 79.38 calories

These steps help in understanding the proof, alcohol percentage, and calorie content calculations for wine, beer, and whiskey!

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