Luis is making chocolate chip cookies. The recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips. If Luis uses 3 cups of chocolate chips, how many cups of almonds will he need? Round to the nearest tenth.(1 point)

Responses

18.0 cups
18.0 cups

0.8 cup
0.8 cup

0.5 cup
0.5 cup

0.4 cup

1 answer

To find out how many cups of almonds Luis needs when using 3 cups of chocolate chips, we can set up a proportion based on the recipe.

The recipe states that for every \( \frac{3}{4} \) cup of chocolate chips, \( \frac{1}{8} \) cup of almonds is needed.

First, we find how many times \( \frac{3}{4} \) fits into 3 cups of chocolate chips:

\[ \text{Number of times } \frac{3}{4} \text{ fits into } 3 = \frac{3}{\frac{3}{4}} = 3 \times \frac{4}{3} = 4 \]

This means Luis is using 4 times the amount of chocolate chips as in the recipe.

Now, we find out how many cups of almonds are needed, considering the recipe uses \( \frac{1}{8} \) cup of almonds for every \( \frac{3}{4} \) cup of chocolate chips:

\[ \text{Amount of almonds needed} = 4 \times \frac{1}{8} = \frac{4}{8} = \frac{1}{2} \text{ cup} \]

Therefore, Luis will need \( 0.5 \) cup of almonds.

Answer: 0.5 cup.