To solve how many cups of almonds Luis will need for 3 cups of chocolate chips, we can set up a ratio based on the recipe. The recipe specifies the following:
- Almonds: \( \frac{1}{8} \) cup for every \( \frac{3}{4} \) cup of chocolate chips.
First, let's determine how many \( \frac{3}{4} \) cups fit into 3 cups:
\[ \text{Number of } \left(\frac{3}{4}\right)\text{-cup servings in 3 cups} = \frac{3 \text{ cups}}{\frac{3}{4} \text{ cups}} = 3 \times \frac{4}{3} = 4 \]
This means that 3 cups of chocolate chips is equivalent to 4 servings of \( \frac{3}{4} \) cups.
Now, we can calculate how many cups of almonds are needed for these servings. Since each serving requires \( \frac{1}{8} \) cup of almonds:
\[ \text{Total cups of almonds} = 4 \times \frac{1}{8} = \frac{4}{8} = \frac{1}{2} \text{ cup} \]
Rounding \( \frac{1}{2} \) cup to the nearest tenth gives us:
- 0.5 cup
Thus, the correct answer is 0.5 cup.
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