Question

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)

Answer 1

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.(1 point)

Answer 2

I don’t know if that’s the answer

Answer 3

To start, we know that the original recipe uses 3 tablespoons of kernels along with 1/2 cup of butter.

Let's find the ratio of butter to kernels in the original recipe.

- The original amount of butter is \( \frac{1}{2} \) cup.
- The original amount of kernels is 3 tablespoons.

Now we calculate how much butter is needed for 10 tablespoons of kernels.

We can set up a proportion based on the original recipe:

\[
\frac{1/2 \text{ cup of butter}}{3 \text{ tablespoons of kernels}} = \frac{x \text{ cup of butter}}{10 \text{ tablespoons of kernels}}
\]

Cross-multiplying gives us:

\[
1/2 \times 10 = 3x
\]

This simplifies to:

\[
5 = 3x
\]

Next, we solve for \( x \):

\[
x = \frac{5}{3} \approx 1.6667 \text{ cups}
\]

Now, to express this in decimal form rounded to the nearest hundredth:

\[
x \approx 1.67 \text{ cups}
\]

So, if Jennie uses 10 tablespoons of kernels, she needs approximately **1.67 cups of butter**.

Answer 4

To find out how much money the theater made from the sale of children's tickets, we can follow these steps:

1. **Calculate the number of adult tickets sold:**
\[
\text{Adult tickets} = \frac{2}{3} \times 345 = 230 \text{ adult tickets}
\]

2. **Calculate the number of children’s tickets sold:**
\[
\text{Children's tickets} = \text{Total tickets} - \text{Adult tickets} = 345 - 230 = 115 \text{ children's tickets}
\]

3. **Calculate the cost per children's ticket:**
The cost of an adult ticket is $13.95, so the cost of a children's ticket, which is \( \frac{2}{3} \) of the adult ticket price, is:
\[
\text{Children's ticket price} = \frac{2}{3} \times 13.95 = \frac{2 \times 13.95}{3} \approx 9.30
\]

4. **Calculate the total money made from children’s tickets:**
\[
\text{Total from children's tickets} = \text{Children's tickets} \times \text{Children’s ticket price} = 115 \times 9.30
\]
\[
\text{Total from children's tickets} = 1,069.50
\]

Thus, the theater made **$1,069.50** from the sale of children's tickets (rounded to the nearest hundredth and with commas).

So, the final answer is:
\[
\boxed{1,069.50}
\]

Answer 5

Let’s walk through the calculation step by step to ensure we get the correct answer.

1. **Total tickets sold:** 345 tickets.

2. **Calculate the number of adult tickets sold:**
We know that \(\frac{2}{3}\) of the tickets sold are adult tickets. So, we find out how many adult tickets there are:
\[
\text{Adult tickets} = \frac{2}{3} \times 345 = 230 \text{ adult tickets}
\]

3. **Calculate the number of children’s tickets sold:**
To find the number of children's tickets, we subtract the number of adult tickets from the total tickets:
\[
\text{Children's tickets} = 345 - 230 = 115 \text{ children's tickets}
\]

4. **Cost of adult tickets:**
Each adult ticket costs $13.95.

5. **Cost per children’s ticket:**
The children’s ticket costs \( \frac{2}{3} \) of the adult ticket price:
\[
\text{Children's ticket price} = \frac{2}{3} \times 13.95
\]
Now we calculate that:
\[
\text{Children's ticket price} = \frac{2 \times 13.95}{3} = \frac{27.90}{3} = 9.30 \text{ dollars}
\]

6. **Calculate total revenue from children’s tickets:**
Now we calculate the total revenue from children’s tickets:
\[
\text{Total from children's tickets} = 115 \text{ children's tickets} \times 9.30 \text{ dollars/ticket}
\]
Calculating that:
\[
\text{Total from children's tickets} = 115 \times 9.30 = 1,069.50
\]

Thus, the theater made **$1,069.50** from the sale of children's tickets.

To clearly state the result, the answer with the appropriate formatting is:
\[
\boxed{1,069.50}
\]
If there are any specific parts you’d like me to clarify, please let me know!