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To find out how many cups of flour would be needed to prepare 5 servings of the menu, we can use the given ratio of water to flour to sugar, which is 13:1:something. Since the ratio is given in cups, we can work with it directly.
Given that the ratio of water to flour to sugar is 13:1:something, we know that the total parts in the ratio is 13 + 1 + something. Since the ratio is not fully provided, we don't know the exact total number of parts, but we can work with the parts we have.
To find out the amount of flour needed for 5 servings, we first calculate the number of cups in one serving:
- Total parts of the ratio = 13 (water) + 1 (flour) + something (sugar)
- One serving of the menu has 1 part of flour
- To find the total parts in one serving: 13 + 1 + something = 5 parts (since it's 5 servings)
Since 1 out of 15 parts is flour (1 part out of the total 5 parts), we can set up a proportion to find the amount of flour needed for 5 servings:
1 \text{ part flour} = \frac{1}{15} \text{ parts total}
x \text{ cups of flour} = 5 \text{ servings} \times \frac{1}{15} \text{ parts total}
Calculate:
x = 5 \times \frac{1}{15} = \frac{5}{15} = \frac{1}{3}
Therefore, \frac{1}{3} cups of flour would be needed to prepare 5 servings of the menu.
The closest option from the provided choices is:
d. 3 cups