The original recipe calls for 3 tablespoons of kernels and uses 1/2 cup of butter. To find out how much butter Jennie needs if she uses 10 tablespoons of kernels, we can set up a proportion.
- Start with the ratio of kernels to butter from the original recipe:
\[ \text{Kernels: } 3 \text{ tablespoons} \quad \text{Butter: } \frac{1}{2} \text{ cup} \]
- We want to find out how much butter \( x \) she needs for 10 tablespoons of kernels:
\[ \frac{3 \text{ tbsp}}{\frac{1}{2} \text{ cup}} = \frac{10 \text{ tbsp}}{x} \]
- Cross-multiply to solve for \( x \):
\[ 3x = 10 \times \frac{1}{2} \]
\[ 3x = 5 \]
- Now, divide both sides by 3 to find \( x \):
\[ x = \frac{5}{3} \approx 1.6667 \]
- Rounding \( 1.6667 \) to the nearest hundredth, we get \( 1.67 \).
Therefore, the answer is 1.67.