Jennie is making popcorn. The recipe calls for 1/2 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.
1.67
To find out how much butter Jennie needs if she uses 10 tablespoons of kernels instead of the 3 tablespoons specified in the recipe, we can use proportionality.
We have the following ratio in the recipe:
3 tablespoons of kernels require 1/2 cup of butter.
To find out the amount of butter needed for 10 tablespoons of kernels, we can set up a proportion:
3 tablespoons of kernels / 1/2 cup of butter = 10 tablespoons of kernels / x cups of butter.
To solve for x (the unknown amount of butter required), we can cross-multiply and solve for x:
3 tablespoons of kernels * x cups of butter = 10 tablespoons of kernels * 1/2 cup of butter.
3x = 10 * 1/2.
3x = 5.
x = 5/3 = 1.67.
Rounding to the nearest hundredth, Jennie needs approximately 1.67 cups of butter if she uses 10 tablespoons of kernels.
AAAaannndd the bot gets it wrong yet again!
x/(1/2) = 10/3
x = 5/3 c butter