to make banana bread, colin uses 3/4 of a cup of brown sugar for every 2 cups of flour. how much brown sugar…

to make banana bread, colin uses 3/4 of a cup of brown sugar for every 2 cups of flour. how much brown sugar should colin use to make a small batch with only 1 cup of flour? simplify your answer and write it as a proper fraction, mixed number, or whole number. cups of brown sugar
Answer
Explanation:
Step1: Set up the proportion
Let (x) be the amount of brown sugar for 1 cup of flour. We know that (\frac{3}{4}) cup of brown sugar is used for 2 cups of flour. So the proportion is (\frac{\frac{3}{4}}{2}=\frac{x}{1})
Step2: Solve the proportion
Cross - multiply: (2x=\frac{3}{4}\times1) Then (x = \frac{3}{4}\div2=\frac{3}{4}\times\frac{1}{2}=\frac{3}{8})
Answer:
(\frac{3}{8}) cups of brown sugar