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)
O 1.67
1.66
O 150
Jennie needs 3 tablespoons of kernels to make popcorn. If she uses 10 tablespoons of kernels, she will need to increase the proportion of other ingredients as well. Therefore, we need to find the ratio of butter to kernels from the original recipe and apply it to the new amount of kernels.
The original ratio of butter to kernels is 1/2 cup to 3 tablespoons. To find the amount of butter needed for 10 tablespoons of kernels, we can set up the following equation:
(1/2 / 3) = (x / 10)
Cross multiplying, we get:
3x = (1/2) * 10
3x = 5
x = 5/3
Rounded to the nearest hundredth, Jennie needs approximately 1.67 cups of butter when using 10 tablespoons of kernels. Therefore, the answer is O 1.67.
To find out how much butter Jennie needs, we need to set up a ratio using the given information.
The recipe calls for 3 tablespoons of kernels and 1/2 cup of butter.
Let's first convert the measurements to the same unit. There are 16 tablespoons in 1 cup.
So, the ratio of tablespoons of kernels to cups of butter is 3 tablespoons : 1/2 cup or 3 tablespoons : 1/32 cup.
If Jennie is using 10 tablespoons of kernels, we can set up the following proportion:
3 tablespoons / 10 tablespoons = 1/32 cup / x
Cross-multiplying, we get:
3 * x = 10 * 1/32
3x = 1/3.2
Dividing both sides by 3, we get:
x = 1/3.2 / 3
x ≈ 0.1042
Rounding to the nearest hundredth:
x ≈ 0.10
Therefore, Jennie needs approximately 0.10 cups of butter.
To calculate the amount of butter needed, you can use a proportion since the recipe calls for 3 tablespoons of kernels and 1/2 cup of butter.
First, set up the proportion using the given information:
`(butter needed) / (kernels needed) = (butter available) / (kernels available)`
Plug in the values:
`(x) / (3 tablespoons) = (1/2 cup) / (10 tablespoons)`
To simplify the proportion, remember that 1 cup is equal to 16 tablespoons:
`(x) / 3 = (1/2) / 10`
Cross-multiply to solve for x:
`10x = 3 * 1/2`
`10x = 3/2`
`x = 3/20`
Convert the fraction to a decimal by dividing 3 by 20:
`x ≈ 0.15`
Therefore, Jennie needs approximately 0.15 cups of butter. Rounded to the nearest hundredth, the answer is 0.15, which is equivalent to 0.16.
So the correct answer is 1.66