Mariam uses 4 tablespoons of sugar to make 2 cups of lemonade, while Michelle puts 7 tablespoons of sugar into 4 cups of lemonade. Whose lemonade will be sweeter?

To determine whose lemonade is sweeter, we need to calculate the ratio of sugar to lemonade for both Mariam and Michelle.

**Mariam:**
- Sugar: 4 tablespoons
- Lemonade: 2 cups

The ratio of sugar to lemonade for Mariam is:
\[
\text{Mariam's ratio} = \frac{4 \text{ tablespoons}}{2 \text{ cups}} = 2 \text{ tablespoons per cup}
\]

**Michelle:**
- Sugar: 7 tablespoons
- Lemonade: 4 cups

The ratio of sugar to lemonade for Michelle is:
\[
\text{Michelle's ratio} = \frac{7 \text{ tablespoons}}{4 \text{ cups}} = 1.75 \text{ tablespoons per cup}
\]

**Comparison:**
- Mariam's ratio: 2 tablespoons per cup
- Michelle's ratio: 1.75 tablespoons per cup

Since 2 tablespoons per cup (Mariam) is greater than 1.75 tablespoons per cup (Michelle), **Mariam's lemonade will be sweeter**.

Would you like further details or have any questions?

Here are some related questions you might find interesting:
1. What if Mariam made 4 cups of lemonade using the same ratio?
2. How many tablespoons of sugar would Michelle need to make her lemonade as sweet as Mariam's?
3. If both increased their sugar by 50%, how would the sweetness compare then?
4. What if the lemonade cups were doubled for both, how would that affect the sweetness?
5. How would the sweetness change if Mariam added 1 more tablespoon of sugar?

**Tip:** Ratios are a useful way to compare quantities and determine relationships, such as sweetness in this case.

Discover whose lemonade is sweeter between Mariam and Michelle by comparing their sugar-to-lemonade ratios. Learn the mathematical approach to determine sweetness based on ratios. Suitable for students in Grades 5-6.

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