Final answer:
Paige would need 2 1/4 cups of flour and 3/8 cup of butter for 18 muffins. We found this by setting up a proportional relationship and solving it for both ingredients.
Step-by-step explanation:
To solve this problem, we need to set up a proportional relationship between the amount of ingredients Paige used for 12 muffins and the amount she would need for 18 muffins.
First, let's look at the flour:
12 muffins --> 1 1/2 cups flour
18 muffins --> x cups flour
We set up the proportion as follows:
(18 muffins / 12 muffins) = (x cups flour / 1 1/2 cups flour)
This simplifies to 18/12 = x/(3/2),
which becomes: 1.5 = x/(3/2)
To find x, we multiply both sides by (3/2),
x = 1.5 * (3/2) = 2.25 cups
Now, let's look at the butter:
12 muffins --> 1/4 cup butter
18 muffins --> y cups butter
Using a similar approach,
18/12 = y/(1/4),
y = (1.5 * (1/4)) = 3/8 cups
Therefore, the correct answer is:
D. 2 1/4 cups of flour and 3/8 cup of butter