To find out how much flour Oscar needs if he plans to use 1 tsp of yeast, we can set up a ratio based on the recipe.
The original recipe states that 3/4 tsp of yeast is used for every 1/2 cup of flour. We need to find out how much flour corresponds to 1 tsp of yeast.
First, we find the ratio of yeast to flour from the original recipe:
- 3/4 tsp yeast corresponds to 1/2 cup flour.
Next, we need to determine how many times we need to multiply the yeast to get to 1 tsp: 1 tsp = 4/4 tsp (1 tsp can be expressed as 4/4 tsp)
Now, we use the ratio:
- If \( \frac{3}{4} \) tsp of yeast corresponds to \( \frac{1}{2} \) cup of flour,
- Then for 1 tsp (which is \( \frac{4}{4} \) tsp), we set up a proportion:
\[ \frac{3/4 \text{ tsp}}{1/2 \text{ cup}} = \frac{1 \text{ tsp}}{x \text{ cup}} \]
Cross-multiplying gives us:
\[ 3/4 \times x = 1 \times (1/2) \]
Which simplifies to:
\[ \frac{3}{4} x = \frac{1}{2} \]
To solve for \( x \), we multiply both sides by \( \frac{4}{3} \):
\[ x = \frac{1/2 \times 4/3}{1} = \frac{4}{6} = \frac{2}{3} \]
So, 1 tsp of yeast corresponds to \( \frac{2}{3} \) cup of flour.
Therefore, the answer is:
\( \frac{2}{3} \) cup