Final answer:
The percentage of lemon concentrate in the lemonade mixture varies depending on the ratio or proportion provided: it can be 25%, 20%, 33.33%, or an incorrect interpretation of 62.5%.
Step-by-step explanation:
Calculating Lemon Concentrate Percentage
To determine what percentage of each mixture is lemon concentrate, we examine the given ratios and proportions:
- For a 3 to 1 water to lemon concentrate ratio (a), there are 3 parts water and 1 part concentrate, making 4 parts in total. Thus, the lemon concentrate is 1/4 of the mixture, or 25%.
- If Eileen mixes 4 parts water with each part lemon concentrate (b), then there are 5 parts in total. The lemon concentrate makes up 1/5 of the mixture, or 20%.
- When 4 out of every 5 cups of the mixture is water (c), this implies 1 cup is lemon concentrate, which is 20% of the mixture.
- If there is twice as much water as lemon concentrate (d), this implies a ratio of 2 to 1, so the lemon concentrate is 1/3 of the mixture, or approximately 33.33%.
- The ratio 6:10 for cups of water to cups of lemonade (e) is a misinterpretation, as it should be water to lemon concentrate. However, for an assumed 6:10 water to lemon concentrate ratio, lemon concentrate would be 10/16 or 62.5% of the mixture, which is incorrect based on the context provided.
In each scenario, the percentage of lemon concentrate is derived by dividing the lemon concentrate part by the total parts of the mixture and then multiplying by 100 to convert it to a percentage. It appears that there might be some inconsistencies in the given statements by Eileen, so it is important to clarify which ratio or proportion is actually used in her lemonade mixture.