To determine how much butter Jennie needs when using 10 tablespoons of kernels, we can set up a proportion based on the original recipe.
The initial recipe uses:
- 3 tablespoons of kernels
- 1/2 cup of butter
First, we convert 1/2 cup of butter to tablespoons since the amount of kernels is given in tablespoons. There are 8 tablespoons in 1/2 cup. Thus, she needs 8 tablespoons of butter for the initial quantity of kernels.
Now we set up a proportion based on the kernels:
\[ \frac{3 , \text{tablespoons of kernels}}{8 , \text{tablespoons of butter}} = \frac{10 , \text{tablespoons of kernels}}{x , \text{tablespoons of butter}} \]
Cross-multiplying gives us:
\[ 3x = 80 \]
Now we solve for \(x\):
\[ x = \frac{80}{3} \approx 26.67 \]
Thus, if Jennie uses 10 tablespoons of kernels, she needs approximately 26.67 tablespoons of butter.