Final answer:
Carole used 1 1/4 cups of sugar for her baking, as it is 1/3 of the 3 3/4 cups of butter she used.
Step-by-step explanation:
The question asks how much sugar Carole used in her baking, given that she used 3 3/4 cups of butter and the amount of sugar was 1/3 that of the butter.
Firstly, convert the mixed number to an improper fraction: 3 3/4 can be written as (3 × 4 + 3)/4, which equals 15/4 cups of butter.
Next, calculate a third of this amount for the sugar, by multiplying 15/4 by 1/3:
- (15/4) × (1/3) = (15 × 1) / (4 × 3) = 15/12 cups.
- 15/12 simplifies to 1 1/4 cups since 12/12 is 1 cup and the remaining 3/12 is 1/4 cup.
Therefore, Carole used 1 1/4 cups of sugar for her baking.