Jenny is making popcorn the recipe calls for 1/2 cup of butter, 3 tablespoons of kernels in 1 teaspoon of salt. If she is is 10 tablespoons of kernels, how much butter does she need round your answer to the nearest hundredth
If 3 tablespoons of kernels require 1/2 cup of butter, then 10 tablespoons of kernels will require (10/3) * 1/2 = 5/3 cups of butter.
Rounding to the nearest hundredth, Jenny needs approximately 1.67 cups of butter.
To find out how much butter Jenny needs when using 10 tablespoons of kernels, we can set up a ratio comparing the required amount of kernels to the amount of butter needed.
The recipe calls for 3 tablespoons of kernels and 1/2 cup of butter. We can write this as:
3 tablespoons of kernels : 1/2 cup of butter
Since Jenny is using 10 tablespoons of kernels, we can set up a proportion to find the amount of butter needed:
10 tablespoons of kernels / ? cups of butter = 3 tablespoons of kernels / 1/2 cup of butter
To solve for the unknown amount of butter, we can cross multiply:
10 tablespoons of kernels * 1/2 cup of butter = 3 tablespoons of kernels * ? cups of butter
(10/1) * (1/2) = 3 * (?/1)
5 = 3 * (?/1)
To isolate the unknown "?", we divide both sides of the equation by 3:
5/3 = ?/1
? = 5/3
To round the answer to the nearest hundredth, we get:
? = 1.67
Therefore, Jenny needs approximately 1.67 cups of butter when using 10 tablespoons of kernels.
To find out how much butter Jenny needs, we'll use proportions based on the given recipe.
Given:
- Recipe calls for 3 tablespoons of kernels and 1/2 cup of butter.
- She has 10 tablespoons of kernels.
Step 1: Setting up the proportion
We'll set up a proportion to find the amount of butter needed.
Let x be the amount of butter needed (in cups), so the proportion becomes:
3 tablespoons / 1/2 cup = 10 tablespoons / x cups
Step 2: Solving the proportion
To solve the proportion, we'll cross-multiply and then divide:
(3 / (1/2)) = (10 / x)
Simplifying the left side of the equation:
3 * (2/1) = 6
6 = (10 / x)
Step 3: Solving for x
To solve for x, we'll isolate it by dividing both sides of the equation by 6:
6 / 6 = (10 / x) / 6
1 = 10 / (6x)
Next, we'll cross-multiply:
6x = 10
Dividing both sides by 6:
(6x) / 6 = 10 / 6
x = 10 / 6
Step 4: Evaluating the result
Evaluating the division, we find:
x ≈ 1.67
Therefore, Jenny needs approximately 1.67 cups of butter (rounded to the nearest hundredth).