How many cups are in 3/4 pound?
Understand the Problem
The question is asking for the conversion of weight (3/4 pound) into a volume measurement (cups). This typically requires knowing the density of the substance being measured, as various substances will have different cup measurements for the same weight.
Answer
1.5 cups
Answer for screen readers
There are 1.5 cups in 3/4 pound of all-purpose flour.
Steps to Solve
-
Identify the substance and its density
We need to know the specific substance we are converting since densities of substances vary. For this example, let's use all-purpose flour, which has a density of approximately 0.5 pounds per cup.
- Set up the conversion based on the given density
Since the density of all-purpose flour is 0.5 pounds per cup, we can use this information to convert 3/4 pound to cups:
$$ 3/4 \ text {pounds} \ times \left ( \frac {1 \text{cup}}{0.5 \text{pounds}} \right ) \ = \ 3/2 \text {cups}$$
Simplifying this gives:
$$ \frac{3}{2} \text {cups} \ = \ 1.5 \text {cups}$$
There are 1.5 cups in 3/4 pound of all-purpose flour.
More Information
It's interesting to note that different substances will convert differently. For example, 3/4 pound of sugar might convert to a different cup measurement due to its higher density compared to flour.
Tips
A common mistake is not confirming the specific substance's density, leading to conversion errors. Always check the density or conversion factor specific to the substance being measured.
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