Convert 200 grams of sugar to cups. If 50 grams of sugar is equal to 0.25 cups, how many cups is 200 grams of sugar?
The Correct Answer and Explanation is :
To convert grams of sugar to cups, you can use the information that 50 grams of sugar is equivalent to 0.25 cups. From this, we can determine the conversion factor and apply it to find out how many cups are in 200 grams of sugar.
Step-by-Step Calculation
- Identify the Conversion Rate:
We know:
- 50 grams of sugar = 0.25 cups.
- Find the Cups per Gram:
To find out how many cups correspond to 1 gram of sugar, we divide the number of cups by the number of grams:
[
\text{Cups per gram} = \frac{0.25 \text{ cups}}{50 \text{ grams}} = 0.005 \text{ cups/gram}.
] - Calculate Cups for 200 Grams:
Now, we can calculate the number of cups in 200 grams:
[
\text{Cups in 200 grams} = 200 \text{ grams} \times 0.005 \text{ cups/gram} = 1 \text{ cup}.
]
Conclusion
Thus, 200 grams of sugar is equivalent to 1 cup.
Explanation
Converting between grams and cups is essential in cooking and baking, where precise measurements can significantly impact the outcome of a recipe. Grams measure mass, while cups measure volume. Since sugar can vary in density depending on its granulation (for instance, powdered sugar versus granulated sugar), it is vital to use a specific conversion rate for the type of sugar being measured.
The conversion factor we derived (0.005 cups per gram) gives a straightforward way to convert any amount of sugar from grams to cups. This calculation is particularly useful for those who prefer using weight measurements for accuracy in baking, as weight is more consistent than volume due to factors like packing and settling.
Using conversions helps maintain consistency in recipes, especially when scaling them up or down. Understanding these conversions can simplify the cooking process and improve the final product.