Question

students are making lemonade from a powdered lemon drink mix. angel mixes 2 cups of water and 1 teaspoon of powdered lemon mix. evelyn mixes 3 cups of water and 1 teaspoon of powdered lemon mix. whose mix will be more lemony? answer angels mix will be more lemony. evelyns mix will be more lemony. the two mixes will be equally lemony.

Explanation:

Step1: Calculate lemon - mix concentration for Angel

Angel has 1 teaspoon of mix and 2 cups of water. The ratio of mix to total liquid (assuming negligible volume change when mixing) is $\frac{1}{2 + 0}$ (since the volume of 1 teaspoon of mix is small compared to water volume and we focus on the ratio). The ratio is $\frac{1}{2}$.

Step2: Calculate lemon - mix concentration for Evelyn

Evelyn has 1 teaspoon of mix and 3 cups of water. The ratio of mix to total liquid is $\frac{1}{3+ 0}=\frac{1}{3}$.

Step3: Compare the ratios

We know that when comparing fractions $\frac{1}{2}$ and $\frac{1}{3}$, and using the rule that for positive fractions $\frac{a}{b}$ and $\frac{a}{c}$ ($a>0$), if $b < c$, then $\frac{a}{b}>\frac{a}{c}$. Since $2<3$, $\frac{1}{2}>\frac{1}{3}$. So Angel's mix has a higher concentration of lemon - mix.

Answer:

Angel's mix will be more lemony.