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?

A. Isabella's dressing is sweeter.
B. Santiago's dressing is sweeter.
C. Neither. The dressings are equally sweet.

1 answer

To determine whose dressing is sweeter, we can calculate the ratio of honey to lime juice for each version.

Isabella's Dressing:

  • Honey: 4 tablespoons
  • Lime Juice: 2 tablespoons

The ratio of honey to lime juice for Isabella's dressing is: \[ \text{Ratio (Isabella)} = \frac{\text{Honey}}{\text{Lime Juice}} = \frac{4}{2} = 2 \]

Santiago's Dressing:

  • Honey: 5 tablespoons
  • Lime Juice: 4 tablespoons

The ratio of honey to lime juice for Santiago's dressing is: \[ \text{Ratio (Santiago)} = \frac{\text{Honey}}{\text{Lime Juice}} = \frac{5}{4} = 1.25 \]

Comparison:

  • Isabella's ratio is 2, while Santiago's ratio is 1.25.

Since a higher ratio of honey to lime juice indicates a sweeter dressing, we can conclude that:

A. Isabella's dressing is sweeter.