Final answer:
To determine which lemonade recipe uses more lemon juice per cup of water, the specific ratios of lemon juice to water should be provided. With the analogy given, one can understand that the solution with less solute (sugar or lemon juice) has more solvent (water) compared to a solution with more solute for the same total volume.
Step-by-step explanation:
When comparing two lemonade recipes to determine which uses more lemon juice per cup of water, you would need to know the ratio of lemon juice to water in each recipe. Without this specific information, it is not possible to make an accurate comparison. However, based on the given analogy of two different solutions, one with a teaspoon of sugar and another with a quarter cup of sugar, if both cups have the same total volume of solution, then the cup with less sugar (the teaspoon) would contain a greater volume of water because there is less sugar displacing the water. Similarly, in lemonade recipes, the recipe with less lemon juice per unit of water would have more water relative to lemon juice.