Step 1:

Given: 50 grams of sugar = 0.25 cups. 
 

Step 2:

To find the number of cups for 200 grams, set up a proportion: 
\(\frac { 50 \text { grams} } { 0.25 \text { cups} } = \frac { 200 \text { grams} } { x \text { cups} } \)
 

Step 3:

Cross-multiply to solve for \(x\): 
\(50 \text { grams} ×x\text { cups} = 200\text { grams} ×0.25\text { cups} \)
 

Step 4:

Divide both sides by 50: 
\(x = \frac { 50} { 50} = 1 \)

Step 5:

Therefore, 200 grams of sugar is equal to 1 cup.

Supplemental Knowledge:

When converting grams of sugar to cups, a conversion factor must be used. 50 grams is equivalent to 0.25 cups; using this information you can determine how many cups 200 grams would covert to.

Theory in Practice:

Understanding unit conversions is integral in cooking and baking, especially when adapting recipes from different regions using differing measurements systems. If, for instance, your cake recipe specifies ingredients measured in grams but your measuring tools use cups, understanding how to convert between these units ensures your recipe turns out accurately.

Imagine creating a dessert for an event and it calls for 200 grams of sugar - knowing how to convert this measurement directly to cups makes life much simpler than playing guessing games with standard measuring tools!

For those who frequently deal with unit conversions or want to enhance their arithmetic skills, UpStudy offers a range of tools, including an Algebra calculator, and resources designed to make learning more interactive and effective. Our live tutor question bank can provide detailed explanations and help you master various mathematical concepts with ease.