Question

Students are making lemonade from a powdered lemon drink mix. Ariana

mixes 3 cups of water and 17 cups of powdered lemon mix. Andres mixes 1
cup of water and 10 cups of powdered lemon mix. Use Ariana and Andres's
percent of pewdered lemon mix to determine whose mix will be more lemony.

Ariana percent of powdered lemon mix (to nearest whole number) =

Andres percent of powdered lemon mix (to nearest whole number) =

Answer 1

Answer: Ariana uses 85% drink mix, and Andres uses 90% drink mix. Therefore, Andres's drink will taste more lemony.

Explanation:

Ariana uses 17 cups of mix out of the 20 total cups which is 85%

Andres uses 10 cups of mix out of the 11 total cups which is around 90%

Answer 2

• Ariana percent: 85
• Andres percent: 91

Explanation:

You want the percent of powdered lemon mix in two recipes:

• Ariana: 3 c water, 17 c lemon mix
• Andres: 1 c water, 20 c lemon mix

Percent

The desired percent can be found from ...

(lemon mix)/(water + lemon mix) × 100%

For Ariana, this is ...

17/(3 +17) × 100% = 17/20 × 100% = 85%

For Andres, this is ...

10/(1 +10) × 100% = 10/11 × 100% ≈ 91%

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Additional comment

There aren't many powders that will dissolve 10 cups of powder in 1 cup of water. Even if there were, the resulting combination would not have a volume of 11 cups. This might be a mildly interesting math problem, but it has little relevance to any real-world lemonade recipe.

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