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

0.8 cup
0.8 cup

0.4 cup
0.4 cup

18.0 cups
18.0 cups

0.5 cup

1 answer

To find out how many cups of almonds Luis will need for 3 cups of chocolate chips, we start with the ratio provided in the recipe:

For every \( \frac{3}{4} \) cup of chocolate chips, \( \frac{1}{8} \) cup of almonds is required.

Let's first determine how many times \( \frac{3}{4} \) fits into 3 cups:

\[ 3 \div \frac{3}{4} = 3 \times \frac{4}{3} = 4 \]

This means that 3 cups of chocolate chips is equivalent to 4 times \( \frac{3}{4} \) cups.

Now, since we need \( \frac{1}{8} \) cup of almonds for each \( \frac{3}{4} \) cup of chocolate chips, we multiply the amount of almonds by 4:

\[ \text{Almonds required} = 4 \times \frac{1}{8} = \frac{4}{8} = \frac{1}{2} \]

Thus, Luis will need \( \frac{1}{2} \) cup of almonds.

Rounding to the nearest tenth, the answer is:

0.5 cup.