Old Car Models Exhibition: Ticket Sales Analysis
Hey guys! Let's dive into a fun math problem! We're talking about an exhibition of old car models, and figuring out some ticket sales data. It's like we're detectives, but instead of solving a crime, we're solving a math problem! The problem gives us a few key pieces of info, like the cost of different tickets and how many of each kind were sold on a particular day. So, grab your calculators (or your brains, works too!) and let's get started. We're going to break down this problem step by step, making sure everything is super clear and easy to follow. Our goal is to figure out how many regular and discounted tickets were sold. It's all about using the information provided to unravel the mystery of the ticket sales! This kind of problem is super common, like you might find it on a test or just in real life when you're trying to budget or understand expenses. Let's see what we can do.
The Ticket Prices and the Family Ticket Twist!
So, at this awesome old car models exhibition, you've got a few choices for tickets. First up, you can grab a regular ticket for 18 zł (that's Polish Zloty, the currency there). Then, if you're looking for a deal, there's a discounted ticket, or ulgowy ticket, for 14 zł. And here's where it gets interesting: there's also a family ticket. The family ticket is a bit special. It costs twice as much as the regular ticket! That means the family ticket costs 18 zł * 2 = 36 zł. Got it? Okay, cool! Now we have all the prices we need. This is great info to get started and is a super important point. Knowing what the tickets cost helps us find out how many of each kind we need. This will help with the next part of the problem.
We know what each ticket costs, and that the family ticket is double the regular price. This is all the basic ticket info we need to get started. Also, keep in mind we'll need this info later to solve the problem so this is important! The ticket prices for each kind is:
- Regular ticket: 18 zł
- Discounted ticket: 14 zł
- Family ticket: 36 zł
Sales Figures for the Day!
Alright, so on this particular day at the exhibition, the ticket sellers were busy bees. They managed to sell a total of 142 tickets! That's a lot of car enthusiasts, right? We also know that out of those 142 tickets, a whopping 62 were family tickets. Think about it: a lot of families must have wanted to see those classic cars! The rest of the tickets sold were either regular or discounted. That means we have to find out how many of those were regular tickets and how many were the discounted ones. Remember, it is up to us to calculate the missing values. The problem gives us the total number of tickets sold. This will help us find out the amount of regular and discounted tickets. Using the information given, we can start the calculations.
Let's keep these numbers in mind:
- Total tickets sold: 142
- Family tickets sold: 62
Calculating the Remaining Tickets
Okay, time for some number crunching! We know the total number of tickets and the number of family tickets. To figure out how many regular and discounted tickets were sold combined, we need to subtract the number of family tickets from the total. So, 142 (total tickets) - 62 (family tickets) = 80 tickets. This means that 80 tickets were either regular or discounted. Now we know the combined number of regular and discounted tickets.
Let's break it down further. We need to find the number of regular tickets and the number of discounted tickets. To do this, we need to apply some basic algebra. From there we can find the amount of regular and discounted tickets sold! The number of tickets we have calculated so far is:
- Total tickets sold: 142
- Family tickets sold: 62
- Regular and Discounted tickets sold: 80
The Missing Piece: Regular vs. Discounted
Unfortunately, the problem doesn't give us any more info about how many regular and discounted tickets there were. So, we can't figure out the exact number of each type of ticket. The only thing we know is the combined total: there were 80 regular and discounted tickets sold. We can use basic algebra, but there is no way to accurately calculate the number of regular and discounted tickets using the current information.
We would need more information, like the total amount of money earned or a ratio of regular to discounted tickets. Without that extra piece of information, we can only determine the total number of regular and discounted tickets sold. Now, let's look at the problem in summary. Let's recap what we've solved and what we were not able to solve:
- Regular ticket: 18 zł
- Discounted ticket: 14 zł
- Family ticket: 36 zł
- Total tickets sold: 142
- Family tickets sold: 62
- Regular and Discounted tickets sold: 80
Conclusion: What We Know
So, here's what we've discovered about the old car models exhibition ticket sales. We know the prices of all the tickets. We also know how many family tickets were sold and the combined amount of regular and discounted tickets. While we can't pinpoint the exact number of regular and discounted tickets sold, we've successfully used the information provided to figure out the total number of tickets, as well as the family tickets and combined regular and discounted tickets. This shows that we can successfully use the information provided to solve the problem and apply basic math skills! Great job everyone! This was a fun and interesting math problem.
In Summary:
- Total tickets sold: 142
- Family tickets sold: 62
- Regular and Discounted tickets sold: 80