Trina uses 1/2 cup of sugar and 3/4 cups of flour in a recipe.How many cups of flour would she need if she uses 3 cups of flour?

In this problem, we know that Trina originally uses:

- \( \frac{1}{2} \) cup of sugar
- \( \frac{3}{4} \) cup of flour

We are asked how much sugar Trina would need if she uses 3 cups of flour instead.

The first step is to figure out the ratio of sugar to flour in the original recipe:
\[
\text{Ratio of sugar to flour} = \frac{\frac{1}{2}}{\frac{3}{4}} = \frac{1}{2} \times \frac{4}{3} = \frac{4}{6} = \frac{2}{3}
\]
This means for every \( \frac{3}{4} \) cup of flour, Trina uses \( \frac{2}{3} \) cup of sugar.

Now, if Trina uses 3 cups of flour, we can set up a proportion to find how much sugar she needs:
\[
\frac{\text{sugar}}{\text{flour}} = \frac{2}{3} = \frac{x}{3}
\]
Cross-multiply to solve for \( x \) (the amount of sugar):
\[
x = 3 \times \frac{2}{3} = 2 \, \text{cups of sugar}.
\]

Thus, if Trina uses 3 cups of flour, she will need 2 cups of sugar.

Do you need further details or have any questions?

Here are 5 related questions to consider:
1. How much sugar would Trina need if she used 5 cups of flour?
2. What is the total amount of ingredients (sugar and flour) in the original recipe?
3. If Trina triples the recipe, how much of each ingredient will she need?
4. How can you express the ratio of sugar to total ingredients in the recipe?
5. How would the recipe change if Trina wanted to use only 1 cup of flour?

**Tip**: When scaling recipes, always check the ratio of ingredients to maintain the same balance in the final product.

Trina uses 1/2 cup of sugar and 3/4 cups of flour in a recipe. How many cups of flour would she need if she uses 3 cups of flour?

This math problem shows how to calculate the amount of sugar needed when scaling a recipe. Learn how to use ratios and proportions to find that Trina will need 2 cups of sugar if she uses 3 cups of flour. Ideal for students in Grades 5-7.

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