Question

Jennie is making popcorn. The recipe calls for 12
1
2
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)
Responses

1.66
1.66

1.50
1.50

3.33
3.33

1.67

Answer 1

To determine how much butter Jennie needs if she uses 10 tablespoons of kernels, we first need to understand the original ratio of ingredients based on the recipe.

The original recipe calls for:
- 1/2 cup of butter
- 3 tablespoons of kernels
- 1 teaspoon of salt

First, let's convert 1/2 cup of butter to tablespoons since the kernel measurement is in tablespoons. There are 16 tablespoons in a cup, so:

\[
\frac{1}{2} \text{ cup} = \frac{1}{2} \times 16 \text{ tablespoons} = 8 \text{ tablespoons of butter}
\]

Now we have:
- 8 tablespoons of butter for 3 tablespoons of kernels.

Next, we need to find the butter needed if Jennie uses 10 tablespoons of kernels.

Let's set up a proportion based on the original amount:

\[
\frac{8 \text{ tablespoons of butter}}{3 \text{ tablespoons of kernels}} = \frac{x \text{ tablespoons of butter}}{10 \text{ tablespoons of kernels}}
\]

Cross-multiplying gives us:

\[
8 \times 10 = 3 \times x
\]
\[
80 = 3x
\]

Now, solve for \(x\):

\[
x = \frac{80}{3} \approx 26.67 \text{ tablespoons of butter}
\]

Now, convert this back to cups:

\[
\text{Butter in cups} = \frac{26.67}{16} \approx 1.66625 \text{ (rounding to the hundredth)} \approx 1.67 \text{ cups}
\]

Thus, the amount of butter Jennie needs when using 10 tablespoons of kernels is approximately **1.67 cups**.

The correct answer from the options provided is:

**1.67**