Oscar is making a loaf of bread in cooking class, The teacher gives him a recipe that calls for 3/4 f 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?
A. 1 cup
B. 2 cups
C. 2/3 cup
D. 3/8 cup
The ratio of yeast to flour is 3/4 f tsp of yeast for every 1/2 cup of flour. To find the amount of flour needed for 1 tsp of yeast, we can set up a proportion:
(3/4 f tsp yeast) / (1/2 cup flour) = (1 tsp yeast) / (x cup flour)
Cross multiplying, we get:
(3/4 f tsp yeast) * (x cup flour) = (1 tsp yeast) * (1/2 cup flour)
Simplifying, we have:
(3/4 f * x) tsp yeast * cup flour = 1/2 tsp yeast * cup flour
Canceling out the units, we have:
(3/4 f * x) = 1/2
Solving for x, we get:
x = 1/2 * (4/3 f)
= 2/3 f
So, Oscar needs 2/3 cup of flour to keep the bread tasting the same.
Therefore, the answer is C. 2/3 cup.
To determine how much flour Oscar needs to keep the bread tasting the same, we'll use the given ratio of 3/4 tsp of yeast per 1/2 cup of flour.
Let's set up the proportion:
(3/4 tsp yeast) / (1/2 cup flour) = (1 tsp yeast) / (x cup flour)
To solve for x, we can cross multiply:
(3/4 tsp yeast) * (x cup flour) = (1 tsp yeast) * (1/2 cup flour)
Now, let's solve for x by dividing both sides by (3/4 tsp yeast):
x cup flour = (1 tsp yeast) * (1/2 cup flour) / (3/4 tsp yeast)
To simplify the right side, we can multiply the numerator and denominator by 4 to eliminate the fractions:
x cup flour = (1 tsp yeast) * (1/2 cup flour) * (4/3 tsp yeast)
Now, let's cancel out the units and evaluate the expression:
x cup flour = (1 * 1 * 4) / (2 * 3)
x cup flour = 4/6
x cup flour = 2/3
Therefore, Oscar needs 2/3 cup of flour to keep the bread tasting the same. So the answer is option C. 2/3 cup.
To solve this problem, we need to use the given ratio: 3/4 tsp of yeast for every 1/2 cup of flour.
Let's first find the ratio of yeast to flour. We can do this by dividing the amount of yeast by the amount of flour.
Ratio = 1 tsp of yeast / 3/4 tsp of yeast = 4/3
Now, let's find how much flour Oscar needs to keep the bread tasting the same. We can do this by multiplying the ratio by the amount of yeast Oscar plans to use.
Flour needed = (4/3) * 1 tsp of yeast = 4/3 tsp of flour
Now, we want to convert the flour from teaspoons to cups. Since there are 48 teaspoons in a cup, we need to divide the flour in teaspoons by 48.
Flour needed = (4/3 tsp of flour) / 48 = 4/3 / 48 = 4/144 = 1/36 cup of flour
The answer, therefore, is 1/36 cup of flour. However, none of the options given match this answer exactly.
Therefore, the correct answer may not be among the choices provided.