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Students are making lemonade from a powdered lemon drink mix. Suav mixes 6 cups of water and 5 teaspoons of powdered lemon mix. Ashley mixes 3 cups of water and 5 teaspoons of powdered lemon mix. Whose mix will be more lemony?
Suav's mix will be more lemony.
Ashley's mix will be more lemony.
The two mixes will be equally lemony.

Students are making lemonade from a powdered lemon drink mix. Suav mixes $6$ cups of water and $5$ teaspoons of powdered lemon mix. Ashley mixes $3$ cups of water and $5$ teaspoons of powdered lemon mix. Whose mix will be more lemony? $\newline$ Suav's mix will be more lemony. $\newline$ Ashley's mix will be more lemony. $\newline$ The two mixes will be equally lemony.

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Solve proportions: word problems

Full solution

Q. Students are making lemonade from a powdered lemon drink mix. Suav mixes

6

cups of water and

5

teaspoons of powdered lemon mix. Ashley mixes

3

cups of water and

5

teaspoons of powdered lemon mix. Whose mix will be more lemony?

\newline

Suav's mix will be more lemony.

\newline

Ashley's mix will be more lemony.

\newline

The two mixes will be equally lemony.

Calculate Concentration Suav's Mix: To determine which mix will be more lemony, we need to compare the concentration of lemon mix in each solution. The concentration is found by dividing the amount of lemon mix by the amount of water.
Calculate Concentration Ashley's Mix: First, let's calculate the concentration for Suav's mix. Suav uses $6$ cups of water and $5$ teaspoons of powdered lemon mix. $\newline$ Concentration of Suav's mix $= \frac{\text{Amount of lemon mix}}{\text{Amount of water}}$ $\newline$ Concentration of Suav's mix $= \frac{5 \text{ teaspoons}}{6 \text{ cups}}$
Compare Concentrations: Now, let's calculate the concentration for Ashley's mix. Ashley uses $3$ cups of water and $5$ teaspoons of powdered lemon mix. $\newline$ Concentration of Ashley's mix = Amount of lemon mix / Amount of water $\newline$ Concentration of Ashley's mix = $5$ teaspoons / $3$ cups
Conclusion: To compare the concentrations, we can see that Suav's mix has a lower concentration of lemon mix per cup of water than Ashley's mix because $\frac{5}{6}$ is less than $\frac{5}{3}$ .
Conclusion: To compare the concentrations, we can see that Suav's mix has a lower concentration of lemon mix per cup of water than Ashley's mix because $\frac{5}{6}$ is less than $\frac{5}{3}$ .Therefore, Ashley's mix will be more lemony because it has a higher concentration of lemon mix per cup of water.

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