Jennie is making popcorn. The recipe calls for 1/2 cup of butter,3 tablespoons of kernels, and 1 teaspoon of salt. If she uses 10 tablespoons of kernals,how much butter does she need?

Question

Round your answer to the nearest hundredth.
3.33
1.66
1.50
1.67

Answer 1

The recipe calls for 1/2 cup of butter for 3 tablespoons of kernels. To find how much butter Jennie needs for 10 tablespoons of kernels, we can use a proportion.

First, we'll set up the ratio of kernels to butter:

\[ \frac{\text{Butter}}{\text{Kernels}} = \frac{1/2 \text{ cup}}{3 \text{ tablespoons}} \]

Next, we need to determine how much butter corresponds to 10 tablespoons of kernels:

\[ \frac{x}{10} = \frac{1/2}{3} \]

Now we can solve for \( x \):

1. Cross multiply to solve for \( x \):

\[ 3x = (1/2) \cdot 10 \]

2. Calculate \( (1/2) \cdot 10 \):

\[ (1/2) \cdot 10 = 5 \]

3. Therefore, the equation becomes:

\[ 3x = 5 \]

4. Divide by 3:

\[ x = \frac{5}{3} \approx 1.6667 \]

Rounding to the nearest hundredth, \( x \approx 1.67 \).

Thus, Jennie needs 1.67 cups of butter. The correct answer is:

1.67.