Answer :
Sure, let's break it down step by step to determine how much pure alcohol Lenny consumed.
1. Understand the volume of each drink:
- Lenny drank a 5-ounce glass of wine.
- Lenny also drank two 12-ounce bottles of beer.
2. Know the average alcohol by volume (ABV) for each drink:
- Wine typically has an ABV of around 12%, which means 12% of the wine is pure alcohol.
- Beer typically has an ABV of around 5%, which means 5% of the beer is pure alcohol.
3. Calculate the amount of pure alcohol in the wine:
- The volume of wine Lenny drank is 5 ounces.
- To find the amount of pure alcohol:
[tex]\( \text{Amount of pure alcohol in wine} = \text{Volume of wine} \times \text{ABV of wine} \)[/tex]
[tex]\( 5 \, \text{ounces} \times 0.12 = 0.6 \, \text{ounces} \)[/tex]
4. Calculate the amount of pure alcohol in the beer:
- The total volume of beer Lenny drank is 2 bottles x 12 ounces each = 24 ounces.
- To find the amount of pure alcohol:
[tex]\( \text{Amount of pure alcohol in beer} = \text{Volume of beer} \times \text{ABV of beer} \)[/tex]
[tex]\( 24 \, \text{ounces} \times 0.05 = 1.2 \, \text{ounces} \)[/tex]
5. Add the amounts of pure alcohol from both drinks:
- Total amount of pure alcohol Lenny consumed:
[tex]\( 0.6 \, \text{ounces from wine} + 1.2 \, \text{ounces from beer} = 1.8 \, \text{ounces} \)[/tex]
Therefore, Lenny consumed a total of 1.8 ounces of pure alcohol. This value corresponds to the multiple choice option:
One and a half ounces
1. Understand the volume of each drink:
- Lenny drank a 5-ounce glass of wine.
- Lenny also drank two 12-ounce bottles of beer.
2. Know the average alcohol by volume (ABV) for each drink:
- Wine typically has an ABV of around 12%, which means 12% of the wine is pure alcohol.
- Beer typically has an ABV of around 5%, which means 5% of the beer is pure alcohol.
3. Calculate the amount of pure alcohol in the wine:
- The volume of wine Lenny drank is 5 ounces.
- To find the amount of pure alcohol:
[tex]\( \text{Amount of pure alcohol in wine} = \text{Volume of wine} \times \text{ABV of wine} \)[/tex]
[tex]\( 5 \, \text{ounces} \times 0.12 = 0.6 \, \text{ounces} \)[/tex]
4. Calculate the amount of pure alcohol in the beer:
- The total volume of beer Lenny drank is 2 bottles x 12 ounces each = 24 ounces.
- To find the amount of pure alcohol:
[tex]\( \text{Amount of pure alcohol in beer} = \text{Volume of beer} \times \text{ABV of beer} \)[/tex]
[tex]\( 24 \, \text{ounces} \times 0.05 = 1.2 \, \text{ounces} \)[/tex]
5. Add the amounts of pure alcohol from both drinks:
- Total amount of pure alcohol Lenny consumed:
[tex]\( 0.6 \, \text{ounces from wine} + 1.2 \, \text{ounces from beer} = 1.8 \, \text{ounces} \)[/tex]
Therefore, Lenny consumed a total of 1.8 ounces of pure alcohol. This value corresponds to the multiple choice option:
One and a half ounces
