To find out how much butter she needs if she uses 10 tablespoons of kernels, we can set up a proportion based on the original recipe ratio.
The original recipe calls for:
- 1/2 cup of butter for 3 tablespoons of kernels.
If she uses 10 tablespoons of kernels, we can set up the ratio as follows:
\[ \frac{1/2 \text{ cup butter}}{3 \text{ tablespoons kernels}} = \frac{x \text{ cups butter}}{10 \text{ tablespoons kernels}} \]
To find \(x\), we can cross-multiply:
\[ 1/2 \cdot 10 = 3 \cdot x \ 5 = 3x \]
Now, divide both sides by 3 to solve for \(x\):
\[ x = \frac{5}{3} \text{ cups butter} \]
So, she needs \(\frac{5}{3}\) cups of butter, which is approximately 1 cup and 2 tablespoons of butter.