Isabella and her brother, Santiago, want to make their grandma's famous fruit salad, but they can't remember how to make the honey-lime dressing. They decide to make two versions with different amounts of sweet honey and tangy lime, then compare them. Isabella mixes 4 tablespoons of honey and 2 tablespoons of lime juice. Santiago mixes 5 tablespoons of honey and 4 tablespoons of lime juice. Whose dressing is sweeter?

Question

Scratchpad

Answer 1

To determine whose dressing is sweeter, we can compare the sweetness of each dressing by calculating the ratio of honey to lime juice for both Isabella and Santiago's versions.

Isabella's Dressing:

• Honey: 4 tablespoons
• Lime juice: 2 tablespoons

The sweetness can be represented as the ratio of honey to lime:

\[ \text{Sweetness (Isabella)} = \frac{\text{Honey}}{\text{Lime Juice}} = \frac{4}{2} = 2 \]

Santiago's Dressing:

• Honey: 5 tablespoons
• Lime juice: 4 tablespoons

The sweetness for Santiago's dressing is:

\[ \text{Sweetness (Santiago)} = \frac{\text{Honey}}{\text{Lime Juice}} = \frac{5}{4} = 1.25 \]

Comparison:

• Isabella's sweetness ratio: 2
• Santiago's sweetness ratio: 1.25

Since a higher ratio indicates a sweeter dressing, we can conclude that Isabella's dressing is sweeter.