kip is using a recipe that calls for (1)/(4)cup of lemon juice. He has 6-fluid ounce bottle of lemon juice. There are 8 fluid ounces of lemon juice in one cup. How many batches of the recipe can Kip make?
The Correct Answer And Explanation is:
To determine how many batches of the recipe Kip can make, we start by understanding the measurements given:
- The recipe requires: ¼ cup of lemon juice per batch
- Kip has: 6 fluid ounces of lemon juice
- There are: 8 fluid ounces in 1 cup
Step 1: Convert ¼ cup to fluid ounces
Since there are 8 fluid ounces in 1 cup:
$$
\frac{1}{4} \text{ cup} = \frac{1}{4} \times 8 = 2 \text{ fluid ounces}
$$
This means each batch requires 2 fluid ounces of lemon juice.
Step 2: Divide total lemon juice by amount needed per batch
Kip has 6 fluid ounces total, and each batch needs 2 fluid ounces:
$$
6 \div 2 = 3
$$
So, Kip can make 3 batches of the recipe.
✅ Final Answer: 3 batches
300-Word Explanation:
This problem involves converting between units and performing a division operation to determine how many times a smaller quantity fits into a larger one. Kip wants to use all his lemon juice as efficiently as possible to make as many full batches of a recipe that requires ¼ cup of lemon juice per batch. However, Kip’s lemon juice is measured in fluid ounces, while the recipe uses cups, so we must first convert the units for consistency.
In the U.S. customary system, 1 cup equals 8 fluid ounces. Therefore, ¼ of a cup is ¼ × 8 = 2 fluid ounces. This tells us that each batch of the recipe uses 2 fluid ounces of lemon juice.
Next, we compare this required amount per batch to how much lemon juice Kip actually has. He has a 6-fluid ounce bottle, so we divide the total fluid ounces he has (6) by the amount needed for one batch (2). The result is 3, meaning Kip can make 3 complete batches of the recipe.
It is important to note that we are only concerned with full batches. If the division had resulted in a fraction (e.g., 2.5), Kip could only make 2 full batches, not 3. In this case, since 6 divided by 2 is exactly 3, he can use all of his lemon juice without any waste, and make precisely 3 full batches of the recipe.