Jennie is making popcorn. The recipe calls for 12 cup of butter, 3 tablespoons of kernels, and 1 teaspoon of salt. If she uses 10 tablespoons of kernels, how much butter does she need? Round your answer to the nearest hundredth. (1 point)

Please get it right
And explain your calculations in a simplified form

1 answer

To determine how much butter Jennie needs when she uses 10 tablespoons of kernels, we can set up a proportion based on the original recipe.

Original Recipe Ratio:

  • Butter: \( \frac{12 \text{ cups}}{3 \text{ tablespoons}} \)
  • This simplifies to \( 4 \text{ cups of butter per tablespoon of kernels} \).

Ratios:

  • 3 tablespoons of kernels require 12 cups of butter.
  • To find out how much butter is needed for 10 tablespoons, we can set up the following proportion based on the previous ratio:

\[ \text{Butter needed} = \left( \frac{12 \text{ cups}}{3 \text{ tablespoons}} \right) \times 10 \text{ tablespoons} \]

Calculating:

  1. Calculate the butter per tablespoon: \[ \frac{12 \text{ cups}}{3 \text{ tablespoons}} = 4 \text{ cups per tablespoon} \]

  2. Multiply the amount of butter per tablespoon by the number of tablespoons (10): \[ 4 \text{ cups} \times 10 = 40 \text{ cups} \]

Thus, if Jennie uses 10 tablespoons of kernels, she will need 40 cups of butter.

This value does not require rounding as it's a whole number.