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?

1 answer

To determine which dressing is sweeter, we can compare the honey to lime juice ratios for Isabella's and Santiago's dressings.

Isabella's dressing:

  • Honey: 4 tablespoons
  • Lime juice: 2 tablespoons
  • Ratio of honey to lime: \( \frac{4}{2} = 2 \)

Santiago's dressing:

  • Honey: 5 tablespoons
  • Lime juice: 4 tablespoons
  • Ratio of honey to lime: \( \frac{5}{4} = 1.25 \)

Now, let's interpret the ratios:

  • Isabella's dressing has a honey to lime ratio of 2, meaning there is twice as much honey as lime juice.
  • Santiago's dressing has a honey to lime ratio of 1.25, which means there is more honey than lime juice but not as much as Isabella's.

Since a higher ratio indicates a sweeter dressing, Isabella's dressing is sweeter than Santiago's dressing.