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 solve this problem, we need to figure out how many 1/4 cups of lemon juice are in Kip’s 6-fluid ounce bottle. Since 1 cup = 8 fluid ounces, we’ll first convert the 1/4 cup to fluid ounces, then divide Kip’s total lemon juice by that amount.
Step-by-step Solution:
- Convert 1/4 cup to fluid ounces: 14 cup=14×8=2 fluid ounces\frac{1}{4} \text{ cup} = \frac{1}{4} \times 8 = 2 \text{ fluid ounces}
- Determine how many 2-fluid-ounce portions are in 6 fluid ounces: 62=3\frac{6}{2} = 3
✅ Correct Answer: Kip can make 3 batches of the recipe.
🔍 Explanation (300+ words):
This problem requires understanding basic conversions and using division to determine how many recipe batches Kip can make. The key lies in recognizing the relationship between cups and fluid ounces, which are two common units used in cooking.
First, we’re told the recipe calls for 1/4 cup of lemon juice per batch. To work with consistent units, we convert cups to fluid ounces. Since 1 cup equals 8 fluid ounces, we multiply: 1/4 cup×8=2 fluid ounces1/4 \text{ cup} \times 8 = 2 \text{ fluid ounces}
So, each batch of the recipe needs 2 fluid ounces of lemon juice.
Kip has a bottle that contains 6 fluid ounces of lemon juice. To determine how many times he can use 2 fluid ounces from this 6-fluid ounce bottle, we divide: 6÷2=36 \div 2 = 3
This means Kip can make the recipe 3 times, or 3 batches. Each batch uses 2 fluid ounces, and 3 batches would use: 3×2=6 fluid ounces3 \times 2 = 6 \text{ fluid ounces}
which exactly matches the amount Kip has.
This problem tests your ability to:
- Convert between units (cups to fluid ounces)
- Understand fractional measurements
- Apply division in a real-world context
Such questions are commonly seen in standardized tests and real-life situations, especially in culinary or nursing calculations where unit conversion is critical. Knowing that 1 cup equals 8 fluid ounces helps simplify these types of problems quickly and accurately.