To determine how many cups of almonds Luis needs when using 3 cups of chocolate chips, we can set up a proportion based on the original recipe.
The recipe specifies:
- 1/8 cup of almonds for every 3/4 cup of chocolate chips.
First, we need to find out how many times 3/4 cups goes into 3 cups.
\[ \text{Number of 3/4 cup servings in 3 cups} = \frac{3 \text{ cups}}{3/4 \text{ cups}} = 3 \div (3/4) = 3 \times \frac{4}{3} = 4 \]
This means that 3 cups of chocolate chips is equivalent to 4 servings of the original recipe (each using 3/4 cup of chocolate chips).
Since each serving requires 1/8 cup of almonds, we can now calculate the total amount of almonds:
\[ \text{Total almonds} = 4 \times \frac{1}{8} \text{ cup} = \frac{4}{8} \text{ cup} = \frac{1}{2} \text{ cup} \]
Rounding to the nearest tenth, we get:
0.5 cup
So, the answer is:
0.5 cup