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