Question

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

Answer 1

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.