To determine how many cups of almonds Luis will need for 3 cups of chocolate chips, we can set up a proportion based on the recipe.
The recipe states that for every \( \frac{3}{4} \) cups of chocolate chips, 1/8 cup of almonds is required.
Let's set up the equation to find out the number of cups of almonds needed for 3 cups of chocolate chips:
\[ \text{Almonds} = \left(\text{Amount of almonds per } \frac{3}{4} \text{ cup of chocolate chips}\right) \times \left(\frac{\text{Total cups of chocolate chips}}{\frac{3}{4} \text{ cup}}\right) \]
This can be expressed as:
\[ \text{Almonds} = \frac{1}{8} \times \left(\frac{3 \text{ cups}}{\frac{3}{4} \text{ cup}}\right) \]
Solving the fraction:
\[ \frac{3 \text{ cups}}{\frac{3}{4} \text{ cup}} = 3 \times \frac{4}{3} = 4 \]
Now substituting back in:
\[ \text{Almonds} = \frac{1}{8} \times 4 = \frac{4}{8} = \frac{1}{2} \text{ cup} \]
So, Luis will need 0.5 cups of almonds.
Thus, the answer is b. 0.5 cup.
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