If 8 Adult Movie Tickets Cost $\$66.00$, What Is The Cost Of 1 Adult Movie Ticket?

Feb 28, 2025 by ADMIN 83 views

$If 8 Adult Movie Tickets Cost $\$66.00$, What is the Cost of 1 Adult Movie Ticket?$

Introduction

Mathematics is a fundamental subject that plays a crucial role in our daily lives. It is used in various fields such as science, technology, engineering, and mathematics (STEM), finance, economics, and many more. In this article, we will explore a simple yet interesting problem that involves basic arithmetic operations. We will use the concept of ratios and proportions to find the cost of 1 adult movie ticket.

Problem Statement

If 8 adult movie tickets cost $\$66.00$ , what is the cost of 1 adult movie ticket?

Step 1: Understand the Problem

The problem states that 8 adult movie tickets cost $\$66.00$ . We need to find the cost of 1 adult movie ticket. To do this, we will use the concept of ratios and proportions.

Step 2: Identify the Given Information

We are given that 8 adult movie tickets cost $\$66.00$ . This is our given information.

Step 3: Use Ratios and Proportions

To find the cost of 1 adult movie ticket, we will use the concept of ratios and proportions. We will set up a proportion to relate the number of tickets to the cost.

Let x be the cost of 1 adult movie ticket. We can set up the following proportion:

8 tickets / $\$66.00$ = 1 ticket / x

Step 4: Solve the Proportion

To solve the proportion, we will cross-multiply:

8x = $\$66.00$

Step 5: Find the Value of x

To find the value of x, we will divide both sides of the equation by 8:

x = $\$66.00$ / 8

x = $\$8.25$

Conclusion

Therefore, the cost of 1 adult movie ticket is $\$8.25$ .

Real-World Applications

This problem has many real-world applications. For example, if you are planning to go to a movie theater and you want to know the cost of 1 adult movie ticket, you can use this problem to find the answer. Additionally, this problem can be used to teach students about ratios and proportions in a fun and interactive way.

Tips and Tricks

Here are some tips and tricks to help you solve this problem:

Make sure to read the problem carefully and understand what is being asked.
Use the concept of ratios and proportions to set up a proportion.
Cross-multiply to solve the proportion.
Divide both sides of the equation by the number of tickets to find the value of x.

Common Mistakes

Here are some common mistakes to avoid when solving this problem:

Not reading the problem carefully and understanding what is being asked.
Not using the concept of ratios and proportions to set up a proportion.
Not cross-multiplying to solve the proportion.
Not dividing both sides of the equation by the number of tickets to find the value of x.

Final Answer

The final answer is $\$8.25$ .

Introduction

In our previous article, we explored a simple yet interesting problem that involved basic arithmetic operations. We used the concept of ratios and proportions to find the cost of 1 adult movie ticket. In this article, we will provide a Q&A section to help you better understand the problem and its solution.

Q&A

Q1: What is the problem asking for?

A1: The problem is asking for the cost of 1 adult movie ticket, given that 8 adult movie tickets cost $\$66.00$ .

Q2: How do we use ratios and proportions to solve this problem?

A2: We use ratios and proportions to set up a proportion that relates the number of tickets to the cost. We then cross-multiply to solve the proportion and find the value of x, which represents the cost of 1 adult movie ticket.

Q3: What is the given information in this problem?

A3: The given information is that 8 adult movie tickets cost $\$66.00$ .

Q4: How do we set up the proportion?

A4: We set up the proportion by writing:

8 tickets / $\$66.00$ = 1 ticket / x

Q5: What is the value of x?

A5: The value of x is $\$8.25$ , which represents the cost of 1 adult movie ticket.

Q6: How do we use this problem in real life?

A6: We can use this problem in real life to find the cost of 1 adult movie ticket, given that we know the cost of a certain number of tickets.

Q7: What are some common mistakes to avoid when solving this problem?

A7: Some common mistakes to avoid when solving this problem include not reading the problem carefully, not using the concept of ratios and proportions, not cross-multiplying to solve the proportion, and not dividing both sides of the equation by the number of tickets to find the value of x.

Q8: How do we find the value of x?

A8: We find the value of x by dividing both sides of the equation by the number of tickets. In this case, we divide both sides of the equation by 8 to find the value of x.

Q9: What is the final answer?

A9: The final answer is $\$8.25$ , which represents the cost of 1 adult movie ticket.

Q10: Can we use this problem to teach students about ratios and proportions?

A10: Yes, we can use this problem to teach students about ratios and proportions in a fun and interactive way.