High School

A recipe for lemonade punch calls for 6 cups of lemonade for every 24 cups of punch. Which equation can be used to find \( x \), the percentage of lemonade in the recipe?

A. \[ x = \left(\frac{6}{24}\right) \times 100 \]

B. \[ x = \left(\frac{24}{6}\right) \times 100 \]

C. \[ x = \left(\frac{6}{30}\right) \times 100 \]

D. \[ x = \left(\frac{24}{30}\right) \times 100 \]

Answer :

Answer:

The percentage of lemonade in the recipe is 25%.

Step-by-step explanation:

Given:

A recipe for lemonade punch calls for 6 cups of lemonade for every 24 cups of punch.

Now, to find [tex]x[/tex], the percentage of lemonade in the recipe.

In the recipe 6 cups of lemonade for every 24 cups of punch.

The percentage of lemonade = Cups of lemonade / cups of punch.

So, the equation to get the percentage:

[tex]x=\frac{6}{24} \times 100[/tex]

[tex]x=0.25\times 100[/tex]

[tex]x=25\%.[/tex]

Therefore, the percentage of lemonade in the recipe is 25%.

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