To determine how many cups of almonds Louis will need when using 3 cups of chocolate chips, we can set up the following proportion based on the original recipe:
The recipe states: 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 fits into 3 cups of chocolate chips:
\[ \text{Number of 3/4 cups in 3 cups} = \frac{3 \text{ cups}}{3/4 \text{ cup}} = 3 \div \frac{3}{4} = 3 \times \frac{4}{3} = 4 \]
This means that 3 cups of chocolate chips is equivalent to 4 servings of 3/4 cups.
Next, since each serving requires 1/8 cup of almonds, we can find the total amount of almonds needed:
\[ \text{Total almonds} = 4 \times \frac{1}{8} \text{ cups} = \frac{4}{8} \text{ cups} = \frac{1}{2} \text{ cups} \]
So, Louis will need 1/2 cup of almonds.
Rounding to the nearest tenth:
\[ \frac{1}{2} = 0.5 \]
Thus, Louis will need 0.5 cups of almonds.
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