Final answer:
Cindy used a ratio of 2 to 4 for orange juice to Sprite to make fruit punch. By simplifying this to a 1:2 ratio and knowing she used 6 cups of Sprite, it is determined that she would have used 3 cups of orange juice.
Step-by-step explanation:
Understanding Ratios and Proportions in Real-World Situations
To answer the question: Cindy made fruit punch and used a ratio of 2 to 4 for orange juice to Sprite. She used 6 cups of Sprite. How many cups of orange juice did she use? We will use the concept of ratios to find the solution.
The given ratio is 2 parts orange juice to 4 parts Sprite. This can be simplified to a 1:2 ratio by dividing both numbers by the common factor of 2. The question states that Cindy used 6 cups of Sprite. To maintain the 1:2 ratio, we need to find out how many cups of orange juice correspond to this amount of Sprite.
The ratio tells us that for every 1 cup of orange juice, there should be 2 cups of Sprite. Since Cindy used 6 cups of Sprite, we divide this by 2 to get the amount of orange juice, which is 3 cups.
Therefore, Cindy used 3 cups of orange juice in the fruit punch.