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Students are making lemonade from a powdered lemon drink mix. Dominic mixes 6 cups of water and 7 teaspoons of powdered lemon mix. Kaj mixes 1 cup of water and 7 teaspoons of powdered lemon mix. Whose mix will be more watery?
Dominic's mix will be more watery.
Kaj's mix will be more watery.
The two mixes will be equally watery.

Students are making lemonade from a powdered lemon drink mix. Dominic mixes 66 cups of water and 77 teaspoons of powdered lemon mix. Kaj mixes 11 cup of water and 77 teaspoons of powdered lemon mix. Whose mix will be more watery?\newlineDominic's mix will be more watery.\newlineKaj's mix will be more watery.\newlineThe two mixes will be equally watery.

Full solution

Q. Students are making lemonade from a powdered lemon drink mix. Dominic mixes 66 cups of water and 77 teaspoons of powdered lemon mix. Kaj mixes 11 cup of water and 77 teaspoons of powdered lemon mix. Whose mix will be more watery?\newlineDominic's mix will be more watery.\newlineKaj's mix will be more watery.\newlineThe two mixes will be equally watery.
  1. Calculate Ratio for Dominic: Calculate the ratio of water to powdered lemon mix for Dominic.\newlineRatio for Dominic = Amount of waterAmount of powdered lemon mix\frac{\text{Amount of water}}{\text{Amount of powdered lemon mix}}\newlineRatio for Dominic = 6 cups7 teaspoons\frac{6 \text{ cups}}{7 \text{ teaspoons}}
  2. Calculate Ratio for Kaj: Calculate the ratio of water to powdered lemon mix for Kaj.\newlineRatio for Kaj = Amount of waterAmount of powdered lemon mix\frac{\text{Amount of water}}{\text{Amount of powdered lemon mix}}\newlineRatio for Kaj = 1cup7teaspoons\frac{1\,\text{cup}}{7\,\text{teaspoons}}
  3. Compare Ratios: Compare the ratios to determine whose mix is more watery. Dominic's ratio is 67\frac{6}{7}, and Kaj's ratio is 17\frac{1}{7}. A higher ratio of water to powdered lemon mix means the mix is more watery. Therefore, Dominic's mix is more watery because 67\frac{6}{7} is greater than 17\frac{1}{7}.

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