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)
To determine the amount of butter needed, we can set up a proportion using the given information.
The original recipe calls for 3 tablespoons of kernels and 12 cups of butter.
Therefore, the proportion can be written as:
3 tablespoons / 12 cups = 10 tablespoons / x cups
To solve for x (the amount of butter needed), we can cross-multiply:
3x = 10 * 12
3x = 120
Dividing both sides of the equation by 3:
x = 120 / 3
x = 40
Therefore, Jennie needs 40 cups of butter to make popcorn.
To find out how much butter Jennie needs, we need to compare the given amount of kernels with the original recipe's amount of kernels.
First, let's find the ratio of tablespoons of kernels in the recipe to the tablespoons of kernels Jennie used:
Original Recipe:
3 tablespoons of kernels
Jennie's Usage:
10 tablespoons of kernels
Now, let's set up a proportion to find the amount of butter needed:
3 tablespoons of kernels / 12 cups of butter = 10 tablespoons of kernels / X cups of butter
To solve for X (the amount of butter needed), we can cross-multiply and solve for X:
3X = 10 * 12
3X = 120
X = 120 / 3
X ≈ 40
Therefore, Jennie would need approximately 40 cups of butter.
We can set up a proportion to solve for how much butter Jennie needs. Let's call the amount of butter she needs x:
12 cups / 3 tablespoons = x / 10 tablespoons
Cross-multiplying, we get:
12 * 10 = 3x
120 = 3x
Dividing both sides by 3, we get:
40 = x
So, Jennie needs 40 cups of butter. Rounded to the nearest hundredth, this is 40.00 cups. Answer: \boxed{40.00}.