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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 66 cups of water and 55 teaspoons of powdered lemon mix. Ashley mixes 33 cups of water and 55 teaspoons of powdered lemon mix. Whose mix will be more lemony?\newlineSuav's mix will be more lemony.\newlineAshley's mix will be more lemony.\newlineThe two mixes will be equally lemony.

Full solution

Q. Students are making lemonade from a powdered lemon drink mix. Suav mixes 66 cups of water and 55 teaspoons of powdered lemon mix. Ashley mixes 33 cups of water and 55 teaspoons of powdered lemon mix. Whose mix will be more lemony?\newlineSuav's mix will be more lemony.\newlineAshley's mix will be more lemony.\newlineThe two mixes will be equally lemony.
  1. 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.
  2. Calculate Concentration Ashley's Mix: First, let's calculate the concentration for Suav's mix. Suav uses 66 cups of water and 55 teaspoons of powdered lemon mix.\newlineConcentration of Suav's mix =Amount of lemon mixAmount of water= \frac{\text{Amount of lemon mix}}{\text{Amount of water}}\newlineConcentration of Suav's mix =5 teaspoons6 cups= \frac{5 \text{ teaspoons}}{6 \text{ cups}}
  3. Compare Concentrations: Now, let's calculate the concentration for Ashley's mix. Ashley uses 33 cups of water and 55 teaspoons of powdered lemon mix.\newlineConcentration of Ashley's mix = Amount of lemon mix / Amount of water\newlineConcentration of Ashley's mix = 55 teaspoons / 33 cups
  4. 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 56\frac{5}{6} is less than 53\frac{5}{3}.
  5. 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 56\frac{5}{6} is less than 53\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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