Kip is using a recipe that calls for (1)/(4) cup of lemon juice. He has a 6-fluid-ounce bottle of lemon juice. There are 8 fluid ounces of lemon juice in 1 cup. How many batches of the recipe can Kip make? 3 batches 1(1)/(2) batches 2 batches 5(1)/(3) batches
The correct answer and explanation is:
To solve this problem, we need to determine how many batches of the recipe Kip can make with the 6-fluid-ounce bottle of lemon juice, given that each batch requires (1/4) cup of lemon juice.
Step 1: Convert the recipe’s lemon juice measurement to fluid ounces.
The recipe calls for (1/4) cup of lemon juice. We know that 1 cup is equivalent to 8 fluid ounces, so: 14 cup=14×8 fluid ounces=2 fluid ounces.\frac{1}{4} \text{ cup} = \frac{1}{4} \times 8 \text{ fluid ounces} = 2 \text{ fluid ounces}.
This means that each batch of the recipe requires 2 fluid ounces of lemon juice.
Step 2: Determine how many batches Kip can make.
Kip has a 6-fluid-ounce bottle of lemon juice, and each batch requires 2 fluid ounces. To find out how many batches he can make, divide the total amount of lemon juice by the amount required for one batch: 6 fluid ounces2 fluid ounces per batch=3 batches.\frac{6 \text{ fluid ounces}}{2 \text{ fluid ounces per batch}} = 3 \text{ batches}.
Final Answer:
Kip can make 3 batches of the recipe.
Explanation of Process:
- We started by converting the recipe’s lemon juice requirement from cups to fluid ounces. This step is necessary because Kip has a bottle of lemon juice measured in fluid ounces.
- We then calculated how much lemon juice is needed for each batch (2 fluid ounces) and divided Kip’s total available lemon juice (6 fluid ounces) by this amount.
- The result of the division tells us that Kip can make exactly 3 batches, as 2 fluid ounces are needed for each batch.
Therefore, the correct answer is 3 batches, as Kip can use all 6 fluid ounces of lemon juice to make exactly 3 full batches of the recipe.