Question

students are making lemonade from a powdered lemon drink mix. jai mixes 4 cups of water and 1 teaspoon of powdered lemon mix. gianna mixes 3 cups of water and 1 teaspoon of powdered lemon mix. whose mix will be more lemony? answer jais mix will be more lemony. giannas mix will be more lemony. the two mixes will be equally lemony.

Explanation:

Step1: Analyze the ratio of powder to water

For Jai, the ratio of powder (lemon mix) to water is $1$ teaspoon : $4$ cups, so the concentration of powder is $\frac{1}{4}$ (powder per cup of water).
For Gianna, the ratio of powder to water is $1$ teaspoon : $3$ cups, so the concentration of powder is $\frac{1}{3}$.

Step2: Compare the two concentrations

We know that when comparing fractions with the same numerator, the fraction with the smaller denominator is larger. Since $3 < 4$, $\frac{1}{3} > \frac{1}{4}$. This means Gianna's mix has a higher concentration of lemon powder relative to water, so it will be more lemony.

Answer:

Gianna’s mix will be more lemony.