Which of the following is the best conversion factor to use when converting 200 g of a substance to cups?

• A. 1 cup = 240 g
• B. 1 cup = 100 g
• C. 1 cup = 128 g
• D. 1 cup = 500 g

Answer: (C)

Verified step by step guidance

1. Identify the quantity you want to convert and the units involved. Here, you want to convert 200 grams (g) of a substance into cups.
2. Look at the given conversion factors and understand what each means. Each conversion factor relates grams to cups, but they differ in the number of grams per cup.
3. Choose the conversion factor that is stated as the correct or most accurate one for this problem, which is 1 cup = 128 g.
4. Set up the conversion factor as a fraction so that grams cancel out and cups remain. For example, use \(\frac{1\ \text{cup}}{128\ \text{g}}\) to convert grams to cups.
5. Multiply the given mass (200 g) by the conversion factor: \$200\ \text{g} \times \frac{1\ \text{cup}}{128\ \text{g}}$. The grams units cancel, leaving you with cups.