Final answer:
Camila's lemonade mix is more lemony than Alejandro's because it has a higher percentage of lemon mix at 25%, compared to Alejandro's 23.08%. This conclusion is based on comparing the proportions of powder lemon mix to water in each mixture.
Step-by-step explanation:
To determine whose lemonade mix will be more lemony, we need to compare the proportions of powder lemon mix to water in Camila's and Alejandro's mixtures. Camila used 3 cups of water to 1 cup of powder lemon mix, which is a ratio of 3:1. Alejandro used 10 cups of water to 3 cups of powder lemon mix, giving a ratio of 10:3, which can be simplified to about 3.33:1.
To compare the lemoniness of each mixture, we calculate the percentage of powder lemon mix in each. For Camila, the percentage is calculated by dividing the amount of lemon mix by the total volume of the mixture and then multiplying by 100 to get a percentage: (1 cup / (3 cups + 1 cup)) × 100 = 25%. For Alejandro, we do the same: (3 cups / (10 cups + 3 cups)) × 100 ≈ 23.08%.
From these percentages, we can see that Camila's mix has a higher percentage of lemon mix at 25%, compared to Alejandro's mix, which has about 23.08% lemon mix, suggesting that Camila's lemonade will be more lemony. This concept is similar to determining concentrations in chemical equations, comparable to mixing ingredients in recipes like the pancake mix example or finding the total volume of ingredients in examples like the cough syrup mixture.
Additionally, we discussed the concept of ratios and proportions, similar to converting customary units of measurement in real-world situations such as determining the amount of pineapple juice needed for batches of fruit punch or the volume of soup for catering an event, like the examples provided.