Jennie is making popcorn the recipe calls for 1/2 cup of butter 3 tablespoons of kernels and 1 teaspoons of salt if she uses 10 table spoons of kernels how much butter does she need round your answer to the nearest hundreth

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.