Oscar is making a loaf of bread in cooking class. The teacher gives him a recipe that calls for 3/4 tsp of yeast for every 1/2 cup of flour. If he plans to use 1 tsp of yeast, how much flour does he need in order to keep the bread tasting the same?(1 point)

Responses

2 cups
2 cups

38 cup
Start Fraction 3 over 8 End Fraction cup

23 cup
Start Fraction 2 over 3 End Fraction cup

1 cup

1 answer

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