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

0.5 cup
0.5 cup

0.4 cup
0.4 cup

18.0 cups
18.0 cups

0.8 cup
0.8 cup

1 answer

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

The recipe calls for:

  • 1/8 cup of almonds for every 3/4 cup of chocolate chips.

First, calculate how many times 3 cups of chocolate chips is equivalent to the 3/4 cup in the recipe:

\[ \frac{3 \text{ cups}}{\frac{3}{4} \text{ cup}} = 3 \div \frac{3}{4} = 3 \times \frac{4}{3} = 4 \]

This means Luis is using 4 times the amount of chocolate chips compared to the recipe.

Now, we will find the amount of almonds needed by multiplying the amount in the recipe by 4:

\[ 4 \times \frac{1}{8} \text{ cup of almonds} = \frac{4}{8} \text{ cup of almonds} = \frac{1}{2} \text{ cup of almonds} = 0.5 \text{ cup of almonds} \]

So, Luis will need 0.5 cup of almonds.

The correct response is: 0.5 cup