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? \( \begin{array}{ll}\text { A. } \frac{5}{3}=\frac{x}{100} & \text { B. } \frac{3}{5}=\frac{x}{100} \\ \text { C. } \frac{8}{3}=\frac{x}{100} & \text { D. } \frac{5}{8}=\frac{x}{100}\end{array} \)

To find the percent of apple juice in the recipe, you first need to determine the total amount of liquid in the mixture. In this case, that would be 5 cups of apple juice plus 3 cups of water, making a total of 8 cups. To express the apple juice as a percentage of the total liquid, you can set up the proportion using the amount of apple juice (5 cups) over the total amount of liquid (8 cups), which leads to the proportion \(\frac{5}{8}=\frac{x}{100}\). So, the correct choice is D. Now, if you want to whip up your own delicious apple cider, consider using a mix of different apple varieties, such as Granny Smith for tartness and Fuji for sweetness. This combo will elevate the flavor profile and make your cider stand out during the chilly months! Additionally, if you want to avoid mistakes while calculating proportions, always double-check your total. It's also helpful to set up the proportion in fractional form first to avoid confusion, especially when dealing with percentages and different quantities!