Question

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.

Answer 1

To find out how many cups of almonds are needed, a proportion based on the recipe's ratio is set up and solved, resulting in Luis needing 1/2 cup of almonds for 3 cups of chocolate chips.

Step-by-step explanation:

To determine how many cups of almonds Luis will need for 3 cups of chocolate chips, we need to set up a proportion using the ratio given in the recipe. The recipe calls for 1/8 cup of almonds for every 3/4 cup of chocolate chips.

The proportion is as follows:

(1/8) cups almonds / (3/4) cups chocolate chips = x cups almonds / 3 cups chocolate chips

To solve for x, we need to cross multiply and then divide:

(1/8) * 3 = x * (3/4)

3/8 = 3x/4

Now we solve for x:

12/8 = 3x

x = (12/8) / 3

x = 1/2

Luis will need 1/2 cup of almonds for 3 cups of chocolate chips. We are also asked to round to the nearest tenth, but since 1/2 is equal to the decimal 0.5, it is already at the nearest tenth.