Sarah is making a smoothie recipe calls for three oranges 1/4 cup of grape juice 3/4 cup of yogurt 1/3 cup of apple juice and half a cup of vanilla yogurt. How many cups of juice are used in the recipe
In the recipe, there are 3 oranges, 1/4 cup of grape juice, and 1/3 cup of apple juice.
Therefore, the total amount of juice used is 3 oranges + 1/4 cup + 1/3 cup = 9/3 + 1/4 + 1/3 = 12/4 + 1/4 + 3/12 = 16/4 + 1/4 + 1/4 = 18/4 = 4.5 cups of juice. Answer: \boxed{4.5}.
To determine the total amount of juice used in the recipe, we need to add the amounts of grape juice, apple juice, and orange juice. Given that the recipe calls for 1/4 cup of grape juice and 1/3 cup of apple juice, we need to find the amount of orange juice used.
The recipe calls for three oranges. On average, one medium-sized orange yields about 1/2 cup of juice. Therefore, three oranges would yield 3 * 1/2 = 3/2 = 1.5 cups of orange juice.
Let's add up the amounts of grape juice, apple juice, and orange juice:
1/4 cup of grape juice + 1/3 cup of apple juice + 1.5 cups of orange juice = 1/4 + 1/3 + 1.5 = 3/12 + 4/12 + 18/12 = (3 + 4 + 18)/12 = 25/12 = 2.08 cups.
Therefore, the total amount of juice used in the recipe is approximately 2.08 cups.