Making chocolate chip cookies the recipe calls for 1/8 of a cup of almonds for every 3/4 a cup of chocolate chips if you use 3 cups of chocolate chips, how many cups of almonds will you need round to the nearest 10th?

1 answer

To find out how many cups of almonds you need for 3 cups of chocolate chips, you can set up a proportion based on the given ratio.

The recipe calls for:

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

First, we calculate how many times 3/4 fits into 3 cups:

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

This means that 3 cups of chocolate chips is equivalent to 4 times the amount of chocolate chips in the recipe.

Now, we multiply the amount of almonds needed (1/8 cup) by this factor of 4:

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

Therefore, for 3 cups of chocolate chips, you will need 0.5 cups of almonds.

Since you only need to round to the nearest tenth, the final answer is:

0.5 cups of almonds.