Final answer:
Amanda will need 40.5 ounces of lemonade to make 180 fluid ounces of punch.
Step-by-step explanation:
To find out how much lemonade Amanda will need to make 180 fluid ounces of punch, we simply need to determine the ratio of lemonade to mixed fruit juice. According to Amanda's recipe, the ratio is 2 1/4 parts lemonade to 7 3/4 parts mixed fruit juice. The total number of parts in the recipe is 2 1/4 + 7 3/4 = 10 parts.
To find out how much lemonade Amanda will need, we can set up a proportion using the ratio of lemonade to parts: 2 1/4 parts / 10 parts = X ounces / 180 ounces. Cross-multiplying and solving the equation, we get X = (2.25/10) * 180 = 40.5 ounces. Therefore, Amanda will need 40.5 ounces of lemonade to make 180 fluid ounces of punch.