Final answer:
To find the required amount of flour, the quantity of sugar (1/8 cup) is multiplied by the ratio of flour to sugar (2 & 1/3), which yields approximately 1/4 cup of flour, matching answer choice (b).
Step-by-step explanation:
The question involves solving a proportion to calculate the amount of flour needed when a recipe requires 2 & 1/3 times as much flour as sugar. Given that the recipe demands 1/8 cup of sugar, we must multiply this amount by 2 & 1/3 to find the flour quantity. Therefore, the calculation would be (1/8) * (7/3) = (1*7)/(8*3) = 7/24. However, looking at the answer choices given, none of them match exactly 7/24. But, converting 7/24 into a more familiar fraction, we get approximately 1/4 cup, which is the closest to answer choice (b) 1/4 cup of flour.