Final answer:
To find the amount of flour needed for 5 cups of cashews, a proportion based on the original recipe (2 cups of cashews to 3 cups of flour) is set up, which calculates to 7.5 cups of flour.
Step-by-step explanation:
To solve for how many cups of flour are needed for 5 cups of cashews using a recipe that calls for 2 cups of cashews for every 3 cups of flour, we can set up a proportion because the relationship between the amount of cashews and flour is linear.
First, we need to identify the ratio set by the original recipe:
- 2 cups of cashews : 3 cups of flour
Then, we want to find out how many cups of flour would be required for 5 cups of cashews. We set up the proportion as follows:
(2 cups of cashews / 3 cups of flour) = (5 cups of cashews / x cups of flour)
You can solve for x by cross-multiplying and dividing:
2x = 15
x = 15 / 2
x = 7.5 cups of flour
So for 5 cups of cashews, we need 7.5 cups of flour.