a respie requires 2 cups of flour to make 10 servings and 8 cups of flour to make 40 servings. How many cups of flour are needed to make 30 servings

2 cups for 10 servings -- then 1 cup for 5 servings.

30 / 5 = ? cups

To find out how many cups of flour are needed to make 30 servings, we can set up a proportion based on the information given.

Let's assume "x" represents the number of cups of flour needed to make 30 servings.

According to the given information, we know that:
2 cups of flour make 10 servings, and
8 cups of flour make 40 servings.

So, we can set up the following proportion:
2 cups of flour / 10 servings = x cups of flour / 30 servings

To solve this proportion, we can cross-multiply:
(2 cups of flour) * (30 servings) = (10 servings) * (x cups of flour)

60 cups of flour = 10x

Divide both sides of the equation by 10 to solve for x:
60 cups of flour / 10 = 10x / 10

6 cups of flour = x

Therefore, to make 30 servings, you would need 6 cups of flour.