Final answer:
When using the original ratio of 4 cups of peanuts to 5 cups of flour from the recipe, you would need 3.75 cups of flour for 3 cups of peanuts.
Step-by-step explanation:
To solve this problem, we need to establish the ratio of peanuts to flour in the recipe and then use that ratio to calculate the corresponding amount of flour needed for a different quantity of peanuts. The original ratio is 4 cups of peanuts to 5 cups of flour, which simplifies to a ratio of 4:5.
To find out how many cups of flour you would need for 3 cups of peanuts, we set up a proportion:
4 cups peanuts / 5 cups flour = 3 cups peanuts / x cups flour
Solve for x by cross-multiplying:
4x = 3 * 5
x = (3 * 5) / 4
x = 15 / 4
x = 3.75 cups of flour
So, for 3 cups of peanuts, you will need 3.75 cups of flour using the same recipe ratio.