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?
If the recipe calls for 3 tablespoons of kernels and Jennie uses 10 tablespoons of kernels, then she is using 10/3 = <<10/3=3.33>>3.33 times the amount of kernels in the recipe.
Similarly, she would need 3.33 * 1/2 = <<3.33*1/2=1.665>>1.665 cups of butter. Answer: \boxed{1.665}.
To determine how much butter Jennie needs when she uses 10 tablespoons of kernels instead of the original 3 tablespoons mentioned in the recipe, we can use proportions.
Let's set up a proportion to find the amount of butter needed:
Original kernels : Original butter = New kernels : New butter
By substituting the known values into the proportion, we have:
3 tablespoons : 1/2 cup = 10 tablespoons : x
To solve this proportion for x, we cross-multiply:
(3 tablespoons)(x) = (10 tablespoons)(1/2 cup)
Multiplying across:
3x = 5 cups x tablespoons
Dividing both sides by 3, we find:
x = (5 cups x tablespoons) / 3
Now we can simplify the expression by converting the 1/2 cup to tablespoons:
1/2 cup = (1/2 cup)(16 tablespoons / 1 cup) = 8 tablespoons
Substituting this value, we get:
x = (5 cups x tablespoons) / 3 = (5 cups x 16 tablespoons) / 3
Multiplying across:
x = 80 tablespoons / 3
So, when Jennie uses 10 tablespoons of kernels instead of the original 3 tablespoons, she will need approximately 26.67 tablespoons of butter.
To find out how much butter Jennie needs, we can use proportions to determine the amount of butter needed for the given amount of kernels.
The recipe calls for 3 tablespoons of kernels and 1/2 cup of butter.
We can set up a proportion to find the unknown quantity:
3 tablespoons of kernels / 1/2 cup of butter = 10 tablespoons of kernels / x
To solve for x (the amount of butter needed), we can cross multiply:
3 * x = 1/2 * 10
3x = 5
Divide both sides of the equation by 3:
x = 5/3
Therefore, Jennie will need 5/3 cups of butter or approximately 1 and 2/3 cups of butter if she uses 10 tablespoons of kernels.