A water bottle holds 64 ounces of water. How many cups does the water bottle hold? (1 cup = 8 fluid ounces)
A. 4 cups
B. 8 cups
C. 9 cups
D. 56 cups
The Correct Answer and Explanation is:
The correct answer is B. 8 cups.
Explanation:
To solve this problem, we need to convert ounces into cups. The problem gives the following information:
- The water bottle holds 64 ounces of water.
- 1 cup = 8 fluid ounces.
We can use this conversion factor to determine how many cups are equivalent to 64 ounces.
The conversion equation is:
[
\text{Number of cups} = \frac{\text{Number of ounces}}{\text{Ounces per cup}}
]
Substitute the known values:
[
\text{Number of cups} = \frac{64 \, \text{ounces}}{8 \, \text{ounces per cup}}
]
Now, perform the division:
[
\text{Number of cups} = 8 \, \text{cups}
]
Thus, the water bottle holds 8 cups of water.
Detailed Explanation:
To understand the concept more clearly, it’s helpful to break down the math behind the conversion. The fluid ounce is a standard unit of volume, and the cup is another unit of volume that is commonly used in cooking and beverage measurements. Since both ounces and cups measure liquid capacity, we can convert between them using the ratio of 1 cup = 8 fluid ounces.
When you have a total number of fluid ounces (64 ounces, in this case), you divide by the number of ounces in one cup (8 ounces) to find out how many full cups of liquid that represents.
It’s important to note that the other answer choices don’t align with the correct conversion. Here’s why:
- A. 4 cups: This would imply that there are only 4 cups in 64 ounces, which is incorrect (since 64 ÷ 8 = 8).
- C. 9 cups: This would suggest there are 9 cups in 64 ounces, which is also wrong because 64 ÷ 8 equals 8.
- D. 56 cups: This is far too many and would only be correct if each cup contained only 1 ounce (64 ÷ 1 = 64), not 8 ounces.
Therefore, B. 8 cups is the correct answer.