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.
If 3 tablespoons of kernels is needed to make popcorn, then 1 tablespoon of kernels is equal to 1/3 tablespoon/seed.
Therefore, 10 tablespoons of kernels is equal to 10*1/3 = <<10*1/3=3.33>>3.33 tablespoons of kernels.
Since 1 cup of butter is equal to 16 tablespoons of butter, then 1/2 cup of butter is equal to 1/2*16 = <<1/2*16=8>>8 tablespoons of butter
If 3 tablespoons of kernels need 8 tablespoons of butter, then 3.33 tablespoons of kernels need 8/3*3.33 = 8/3*3.33 = 8.88 tablespoons of butter.
Jennie needs round 8.88 to the nearest hundredth, which is 8.88. Answer: \boxed{8.88}.
The movie theater sold 345 tickets to a show. If 2/3 of the tickets sold were adult tickets, which cost $13.95 each, how much money did the theater make from the sale of children’s tickets if they cost 2/3 of the amount of adult tickets? Answer with a dollar amount rounded to the nearest hundredth, placing commas in appropriate places
The number of adult tickets sold is 2/3 * 345 tickets = <<2/3*345=230>>230 tickets.
The number of children's tickets sold is 345 - 230 = <<345-230=115>>115 tickets.
The cost of each adult ticket is $13.95.
The cost of each children's ticket is 2/3 * $13.95 = $<<2/3*13.95=9.30>>9.30.
The theater made $9.30 * 115 tickets = $<<9.30*115=1069.50>>1069.50 from the sale of children's tickets. Answer: \boxed{1,069.50}.
To solve this problem, we need to find out how much butter Jennie needs when she uses 10 tablespoons of kernels instead of the original 3 tablespoons.
We can start by setting up a proportion using the given information. Since the ratio of kernels to butter remains constant, we can write it as:
(3 tablespoons of kernels) / (1/2 cup of butter) = (10 tablespoons of kernels) / (x cups of butter)
To solve for x, we can cross-multiply:
(3 tablespoons of kernels) * (x cups of butter) = (10 tablespoons of kernels) * (1/2 cup of butter)
Now, let's solve for x:
3x = 10 * (1/2)
3x = 5
x = 5/3
Therefore, when Jennie uses 10 tablespoons of kernels, she'll need approximately 5/3 (or 1.67) cups of butter. Rounded to the nearest hundredth, she will need 1.67 cups of butter.