To determine how many cups of almonds Luis needs when he uses 3 cups of chocolate chips, we can set up a ratio based on the recipe.
The recipe calls for \( \frac{1}{8} \) cup of almonds for every \( \frac{3}{4} \) cup of chocolate chips.
We can find the amount of almonds needed for 3 cups of chocolate chips using a proportion:
\[ \frac{1/8}{3/4} = \frac{x}{3} \]
Where \( x \) is the amount of almonds needed.
First, we calculate the ratio without fractions for simplicity:
- Multiply both sides by 3:
\[ 3 \cdot \frac{1/8}{3/4} = x \]
- First simplify \( \frac{1/8}{3/4} \):
\[ \frac{1/8}{3/4} = \frac{1/8} \cdot \frac{4}{3} = \frac{4}{24} = \frac{1}{6} \]
- Now we plug this into the equation:
\[ 3 \cdot \frac{1}{6} = x \]
- This gives us:
\[ x = \frac{3}{6} = 0.5 \]
Thus, if Luis uses 3 cups of chocolate chips, he will need 0.5 cups of almonds.
So the correct answer is:
0.5 cup
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