Oscar is making a loaf of bread in cooking class. The teacher gives him a recipe that calls for 3/4 teaspoon of yeast for every half cup of flour. If he plans to use 1 teaspoon of yeast how much flour does he need in order to keep the bread tasting the same.
To maintain the same taste of the bread, Oscar needs to maintain a ratio of 3/4 teaspoon of yeast for every half cup of flour.
Let x be the amount of flour Oscar needs in cups.
According to the recipe, the ratio of yeast to flour is 3/4 teaspoon per 1/2 cup of flour or 3/4 / (1/2) = (3/4) * (2/1) = 6/4 = 3/2 teaspoon of yeast per cup of flour.
If Oscar plans to use 1 teaspoon of yeast, the ratio remains the same, so he needs (3/2) * x = 1 teaspoon of yeast.
Then, (3/2) * x = 1
Multiply both sides by 2/3 to isolate x: x = (1 * 2) / (3 * 1) = 2/3
Thus, Oscar needs 2/3 cup of flour in order to keep the bread tasting the same.