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?
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?
Solution
To determine who makes a spicier sauce, we need to look at the ratio of spicy chipotle sauce to tangy mayonnaise in each person's recipe.
For Emma's dad, the ratio of chipotle sauce to mayonnaise is 8:12, which simplifies to 2:3. This means that for every 2 tablespoons of chipotle sauce, he uses 3 tablespoons of mayonnaise.
For Uncle Pete, the ratio of chipotle sauce to mayonnaise is 6:10, which simplifies to 3:5. This means that for every 3 tablespoons of chipotle sauce, he uses 5 tablespoons of mayonnaise.
Comparing the two ratios, we can see that Emma's dad uses a higher proportion of mayonnaise to chipotle sauce (2:3 vs 3:5). Therefore, Uncle Pete's sauce would be spicier because it has a higher proportion of spicy chipotle sauce.
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