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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?

Answer :

Mariam uses more sugar in each cup of lemonade compared to Michelle, meaning her lemonade will taste sweeter.

To determine whose lemonade is sweeter, we need to compare the concentration of sugar in each drink.

  1. Mariam's Lemonade:

    • Sugar: 4 tablespoons
    • Water: 2 cups
    • Concentration of sugar = [tex]\frac{4 \text{ tablespoons}}{2 \text{ cups}} = 2 \text{ tablespoons per cup}[/tex]

  2. Michelle's Lemonade:

    • Sugar: 7 tablespoons
    • Water: 4 cups
    • Concentration of sugar = [tex]\frac{7 \text{ tablespoons}}{4 \text{ cups}} = 1.75 \text{ tablespoons per cup}[/tex]

Now, comparing the sugar concentrations:

  • Mariam's lemonade has [tex]2 \text{ tablespoons per cup}[/tex]
  • Michelle's lemonade has [tex]1.75 \text{ tablespoons per cup}[/tex]

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

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