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 given recipe.
The recipe uses \( \frac{1}{8} \) cup of almonds for every \( \frac{3}{4} \) cup of chocolate chips. We can express this relationship as:
\[ \frac{1/8 \text{ cup almonds}}{3/4 \text{ cup chocolate chips}} = \frac{x \text{ cups almonds}}{3 \text{ cups chocolate chips}} \]
Now we'll cross-multiply and solve for \( x \):
\[ (1/8) * 3 = (3/4) * x \]
Calculating \( (1/8) * 3 \):
\[ 1/8 * 3 = 3/8 \]
So now we have:
\[ 3/8 = (3/4) * x \]
Next, we can solve for \( x \) by multiplying both sides by \( \frac{4}{3} \):
\[ x = (3/8) * (4/3) \]
Calculating the right side:
\[ x = \frac{34}{83} = \frac{4}{8} = \frac{1}{2} \]
Thus, Luis will need \( \frac{1}{2} \) cup of almonds for 3 cups of chocolate chips.
The answer is:
0.5 cup