A recipe for apple cider calls for 5 cups of apple juice and 3 cups of water. Which proportion can be used to find $$ x $$, the percent of apple juice in the recipe? $$ \begin{array}{ll} ext { A. } \frac{5}{3}=\frac{x}{100} & ext { B. } \frac{3}{5}=\frac{x}{100} \ ext { C. } \frac{8}{3}=\frac{x}{100} & ext { D. } \frac{5}{8}=\frac{x}{100}\end{array} $$

Question

A recipe for apple cider calls for 5 cups of apple juice and 3 cups of water. Which proportion can be used to find $$ x $$, the percent of apple juice in the recipe? $$ \begin{array}{ll}	ext { A. } \frac{5}{3}=\frac{x}{100} & 	ext { B. } \frac{3}{5}=\frac{x}{100} \ 	ext { C. } \frac{8}{3}=\frac{x}{100} & 	ext { D. } \frac{5}{8}=\frac{x}{100}\end{array} $$

UpStudy AI · Accepted Answer

To determine the percent $$ x $$ of apple juice in the recipe, you need to compare the amount of apple juice to the total volume of the mixture.

1. **Calculate the total volume:**
   $$
   \text{Total volume} = \text{Apple juice} + \text{Water} = 5 \text{ cups} + 3 \text{ cups} = 8 \text{ cups}
   $$

2. **Set up the proportion:**
   $$
   \frac{\text{Apple juice}}{\text{Total volume}} = \frac{x}{100}
   $$
   Substituting the values:
   $$
   \frac{5}{8} = \frac{x}{100}
   $$

So, the correct proportion to find $$ x $$ is:

$$
\boxed{\frac{5}{8}=\frac{x}{100}}
$$

**Answer:**  
D. $$\frac{5}{8}=\frac{x}{100}$$
The correct proportion to find $$ x $$ is $$ \frac{5}{8} = \frac{x}{100} $$.

A recipe for apple cider calls for 5 cups of apple juice and 3 cups of water. Which proportion can be used
to find , the percent of apple juice in the recipe?

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A recipe for apple cider calls for 5 cups of apple juice and 3 cups of water. Which proportion can be used to find , the percent of apple juice in the recipe?