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 point)
Responses
3.33
3.33
1.67
1.67
1.66
1.66
1.50
To find how much butter Jennie needs, we need to compare the amount of kernels she is using to the amount of kernels the recipe calls for.
The recipe calls for 3 tablespoons of kernels. Jennie is using 10 tablespoons of kernels.
To find the ratio between the amount of kernels used and the amount of butter needed, we can set up a proportion.
3 tablespoons / 1/2 cup = 10 tablespoons / x
Cross multiply: 3x = 10 * 1/2
3x = 5
x = 5/3
Rounding to the nearest hundredth, Jennie needs approximately 1.67 cups of butter. Therefore, the answer is 1.67.
To find out how much butter Jennie needs, we can set up a proportion based on the given recipe.
The original recipe calls for 3 tablespoons of kernels and 1/2 cup of butter.
Let's set up the proportion:
3 tablespoons of kernels / 1/2 cup of butter = 10 tablespoons of kernels / x (unknown amount of butter)
To solve for x, we can cross-multiply and then divide:
3 tablespoons of kernels * x = 10 tablespoons of kernels * 1/2 cup of butter
x = (10 tablespoons of kernels * 1/2 cup of butter) / 3 tablespoons of kernels
x = 5/3 cups of butter
Rounding to the nearest hundredth, Jennie will need approximately 1.67 cups of butter. Therefore, the correct answer is 1.67.
To determine how much butter is needed, first we need to find the ratio of kernels to butter in the recipe. The recipe states that for 3 tablespoons of kernels, 1/2 cup of butter is used.
Step 1: Find the ratio of kernels to butter.
3 tablespoons of kernels : 1/2 cup of butter
Step 2: Calculate the amount of butter needed for 10 tablespoons of kernels.
Let's set up a proportion to solve for the amount of butter needed:
3 tablespoons of kernels / 1/2 cup of butter = 10 tablespoons of kernels / x cups of butter
Cross-multiply and solve for x:
(3 tablespoons of kernels) * (x cups of butter) = (10 tablespoons of kernels) * (1/2 cup of butter)
3x cups of butter = 5 cups of butter
Step 3: Convert cups to the nearest hundredth.
As the question asks for the answer rounded to the nearest hundredth:
1 cup of butter = 16 tablespoons (approximate conversion)
5 cups of butter = 5 * 16 tablespoons = 80 tablespoons
Now, we divide 80 tablespoons by 16 to convert it back to cups:
80 tablespoons / 16 = 5 cups
So, if Jennie uses 10 tablespoons of kernels, she will need approximately 5 cups of butter.
Rounded to the nearest hundredth, the answer is 5.00.