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

To find the amount of brown sugar needed for 1 cup of flour, we can set up a proportion based on the given ratio.

Given:
- \( \frac{3}{4} \) cup of brown sugar for 2 cups of flour.

We want to find how much brown sugar, say \( x \), is needed for 1 cup of flour.

\[
\frac{3}{4} \text{ (cups of brown sugar)} : 2 \text{ (cups of flour)} = x : 1 \text{ (cup of flour)}
\]

Setting up the proportion:

\[
\frac{3}{4} \div 2 = x \div 1
\]

This simplifies to:

\[
x = \frac{3}{4} \times \frac{1}{2} = \frac{3}{8}
\]

So, Colin should use \( \frac{3}{8} \) cup of brown sugar for 1 cup of flour.

### Answer:
\[
\frac{3}{8} \text{ cup of brown sugar}
\]

Would you like more details or have any questions?

---

1. How much brown sugar is needed for 3 cups of flour?
2. What is the ratio of flour to brown sugar in this recipe?
3. If Colin has 4 cups of flour, how much brown sugar will he need?
4. How would the proportion change if he used 1 cup of sugar for every 2 cups of flour?
5. Can we solve this using unit rates instead?

**Tip:** Proportions help find equivalent ratios easily by scaling quantities up or down.

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.

Learn how to calculate the required amount of brown sugar for a banana bread recipe, given a specific ratio of brown sugar to flour. This problem explores proportions, ratios, and fraction multiplication, ideal for Grades 5-7.

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