A recipe for banana bread requires 3/4 cups of bananas for every 1/3 cups of sugar used. 

How many cups of sugar should be used if 1 cup of bananas is used?


To find out how many cups of sugar are needed when using 1 cup of bananas, we can set up a proportion based on the given ratio of bananas to sugar.

The ratio provided is:
\[
\frac{3/4 \text{ cups of bananas}}{1/3 \text{ cups of sugar}}.
\]

We can express this relationship as:
\[
\frac{3/4}{1/3} = \frac{1}{x}
\]

where \(x\) is the amount of sugar we need for 1 cup of bananas.

First, we find the multiplier to go from \(3/4\) cups of bananas to 1 cup:
\[
\text{Multiplier} = \frac{1}{3/4} = \frac{4}{3}.
\]

Now, we apply this multiplier to the amount of sugar:
\[
x = \frac{1}{3} \times \frac{4}{3} = \frac{4}{9}.
\]

Thus, if you use 1 cup of bananas, you should use \(\frac{4}{9}\) cups of sugar.

### Summary
- **Cups of sugar needed for 1 cup of bananas:** \(\frac{4}{9}\).

Would you like more details on this calculation or have any questions? Here are some related questions you might find interesting:

1. How would the amounts change if you used 2 cups of bananas?
2. What are some variations to this banana bread recipe?
3. How does the sweetness change with different amounts of sugar?
4. Can you convert \(\frac{4}{9}\) cups of sugar to tablespoons?
5. What are the nutritional implications of adjusting the sugar in banana bread?

**Tip:** When scaling recipes, always maintain the same ratios for consistent results.

A recipe for banana bread requires 3/4 cups of bananas for every 1/3 cups of sugar used. How many cups of sugar should be used if 1 cup of bananas is used?

Find out how much sugar is needed for a banana bread recipe using 1 cup of bananas, based on the ratio of 3/4 cups of bananas to 1/3 cups of sugar. This problem explores key concepts like ratios, proportions, and scaling quantities, making it ideal for students in Grades 6-8.

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