To maintain the same ratio of ingredients as the recipe, we need to scale the amounts of sugar and water according to the amount of lemon juice Melanie has.

Given Recipe Ratio:

• Lemon juice: 1 part
• Sugar: 2 parts
• Water: 8 parts

Melanie's Lemon Juice:

• Lemon juice: 6 tablespoons

Step 1: Determine the scaling factor.

The original recipe uses 1 part lemon juice. Melanie has 6 tablespoons, so the scaling factor is:

$\text{Scaling factor} = \frac{6 \text{ tablespoons}}{1 \text{ part}} = 6$

Step 2: Calculate the required amounts of sugar and water.

• Sugar: Since the recipe calls for 2 parts sugar: $\text{Sugar needed} = 2 \times 6 = 12 \text{ tablespoons}$
• Water: Since the recipe calls for 8 parts water: $\text{Water needed} = 8 \times 6 = 48 \text{ tablespoons}$

Conclusion:

To maintain the same ratio as the recipe, Melanie will need:

• 12 tablespoons of sugar
• 48 tablespoons of water

---

Would you like more details or have any questions?

Here are 5 related questions to consider:

1. If Melanie only had 4 tablespoons of lemon juice, how much sugar and water would she need?
2. How would the required sugar and water change if she had 10 tablespoons of lemon juice?
3. What is the total volume of lemonade Melanie would make with 6 tablespoons of lemon juice?
4. If Melanie wants to double the recipe, how much lemon juice, sugar, and water would she use?
5. How can Melanie adjust the recipe if she wants a stronger lemon flavor?

Tip: When scaling recipes, always apply the same scaling factor to all ingredients to maintain the correct proportions.