To find out how much almonds Luis will need for 3 cups of chocolate chips, we can set up a proportion based on the recipe.
According to the recipe, the ratio of almonds to chocolate chips is:
\[ \frac{1/8 \text{ cup of almonds}}{3/4 \text{ cup of chocolate chips}} \]
Now, let's find out how many cups of almonds he will need for 3 cups of chocolate chips.
- First, let's express the ratio numerically:
\[ \frac{1/8}{3/4} = \frac{1/8}{0.75} = \frac{1}{8} \times \frac{4}{3} = \frac{4}{24} = \frac{1}{6} \]
This means Luis needs \(\frac{1}{6}\) cups of almonds for every \(\frac{3}{4}\) cups of chocolate chips.
- We can find how many times \(\frac{3}{4}\) fits into 3 cups of chocolate chips:
\[ 3 \div \frac{3}{4} = 3 \times \frac{4}{3} = 4 \]
- Now we multiply the amount of almonds needed for \(\frac{3}{4}\) cup by the number of times it fits:
\[ 1/8 \times 4 = 4/8 = 1/2 \text{ cup of almonds} \]
Finally, we can round this to the nearest tenth:
\[ 0.5 \]
So, Luis will need 0.5 cups of almonds.