Question
Emma's dad and her Uncle Pete are trying to recreate their dad's famous dipping sauce for an upcoming family reunion. They remember thinking the sauce was too spicy when they were kids, but they can't remember exactly how much spicy chipotle sauce and tangy mayonnaise to mix now. Emma's dad uses 8 tablespoons of chipotle sauce and 12 tablespoons of mayonnaise. Uncle Pete uses 6 tablespoons of chipotle sauce and 10 tablespoons of mayonnaise. Who makes a spicier sauce?
A. Emma's dad makes a spicier sauce.
B. Uncle Pete makes a spicier sauce.
C. Neither. The sauces are equally spicy.
A. Emma's dad makes a spicier sauce.
B. Uncle Pete makes a spicier sauce.
C. Neither. The sauces are equally spicy.
Answers
GPT-4o mini
To determine who makes a spicier sauce, we can calculate the spiciness ratio of chipotle sauce to the total sauce for both Emma's dad and Uncle Pete.
**Emma's dad:**
- Chipotle sauce: 8 tablespoons
- Mayonnaise: 12 tablespoons
- Total sauce = 8 + 12 = 20 tablespoons
Spiciness ratio = (Chipotle sauce) / (Total sauce) = 8 / 20 = 0.4
**Uncle Pete:**
- Chipotle sauce: 6 tablespoons
- Mayonnaise: 10 tablespoons
- Total sauce = 6 + 10 = 16 tablespoons
Spiciness ratio = (Chipotle sauce) / (Total sauce) = 6 / 16 = 0.375
Now, comparing the spiciness ratios:
- Emma's dad's sauce has a spiciness ratio of 0.4.
- Uncle Pete's sauce has a spiciness ratio of 0.375.
Since 0.4 > 0.375, Emma's dad makes a spicier sauce.
**The answer is A. Emma's dad makes a spicier sauce.**
**Emma's dad:**
- Chipotle sauce: 8 tablespoons
- Mayonnaise: 12 tablespoons
- Total sauce = 8 + 12 = 20 tablespoons
Spiciness ratio = (Chipotle sauce) / (Total sauce) = 8 / 20 = 0.4
**Uncle Pete:**
- Chipotle sauce: 6 tablespoons
- Mayonnaise: 10 tablespoons
- Total sauce = 6 + 10 = 16 tablespoons
Spiciness ratio = (Chipotle sauce) / (Total sauce) = 6 / 16 = 0.375
Now, comparing the spiciness ratios:
- Emma's dad's sauce has a spiciness ratio of 0.4.
- Uncle Pete's sauce has a spiciness ratio of 0.375.
Since 0.4 > 0.375, Emma's dad makes a spicier sauce.
**The answer is A. Emma's dad makes a spicier sauce.**
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