Jennie is making popcorn. The recipe calls for 12 cup of butter, 3 tablespoons of kernels, and 1 teaspoon of salt. If she uses 10 tablespoons of kernels, how much butter does she need? Round your answer to the nearest hundredth. (1 point)

Question

Responses

1.66
1.66

1.50
1.50

1.67
1.67

3.33.

Answer 1

To determine how much butter Jennie needs when using 10 tablespoons of kernels instead of 3, we can set up a proportion based on the original recipe.

The original recipe's ratio of kernels to butter is:

• 3 tablespoons of kernels corresponds to 12 cups of butter.

We can express this ratio as:

$$\frac{3\text{ tablespoons of kernels}}{12\text{ cups of butter}}=\frac{10\text{ tablespoons of kernels}}{x\text{ cups of butter}}$$

Now, we can cross-multiply to solve for $x$:

$$3x=12\times 10$$

Calculating the right side:

$$3x=120$$

Now, divide both sides by 3:

$$x=\frac{120}{3}=40$$

Thus, Jennie needs 40 cups of butter.

To round to the nearest hundredth, since 40.00 already has two decimal places, the answer is:

40.00 cups of butter.

However, since that option is not provided in your responses, ensure I check the context of proportions or clarify the values for kernels and butter.

For the proportions, to convert the proportions to match with units reasonably, if the kernel count increases and her use is above, indicated options may seem unyielding. Thus, please verify the recipe requirements once more for brass tacks.