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## 7th grade (Illustrative Mathematics)

### Unit 2: Lesson 6

Lesson 7: Comparing relationships with tables# Proportional relationships: movie tickets

When going to the movies, is the price you pay proportional to the number of tickets you buy?

## Want to join the conversation?

- I was looking for a walk-through of this problem: an adult ticket cost $2.50 and a child ticket cost $1. if $498.60 was collected for 100 tickets how many child tickets were sold? thank you!(5 votes)
- This is not even possible because even if you sold all adult tickets for 2.50 (maximum amount you could have), 100 tickets would be 250 dollars. Please check to make sure you have the correct numbers. Either have less money collected or more for each ticket.(1 vote)

- when the album gonna drop(1 vote)
- why is the 5 dollars there if we dont use it?(1 vote)
- so could you do that every time they ask you a question like that?(1 vote)
- How do you make the video speed up or down?(0 votes)
- In the lower right corner of the video screen, there is a gear button. Click on it and then click speed.(2 votes)

- So the popcorn price is just there to distract you?(0 votes)
- I think so. In some of my math problems in my advanced math class, my teacher puts confusing wording to get our minds working. You just have to think the problem through, and disect it, and then you won't be confused.(1 vote)

- If we don't need 5$ why is it there(1 vote)
- if you can do this backwerds then can you do this enay way(0 votes)
- I'm confused that you got 1, 2 and 3.(0 votes)
- for example, if for 1 ticket the price is 10 rupees, for 2 tickets it should be 20 rupees and for 3 tickets it should be 30 because 2 is 1*2 and so for 10 also we should multiply by 2 which gives 20. That's how you see proportionality. (for 3 you should multiply 10*3 and for 4, 10*4 and so on)BTW not only when the price is 10. When its any number you should multiply 1*that number,2*that number, and so on(1 vote)

- Are there any other ways to do this?(2 votes)

## Video transcript

- A movie theater charges $10.50 per ticket and $5 per bucket of popcorn. You never buy the popcorn because you think it's too expensive. Is the total price you pay proportional to the number of tickets you buy? This is interesting, because they tell us the price of a bucket of popcorn, but then they tell us that we never buy the popcorn. So I guess, I don't know they even told us what the price is; maybe to confuse us. Is the total price you pay proportional to the number of tickets you buy? Well, you're only buying tickets; you're not gonna be buying any popcorn, so yeah, you're gonna spend $10.50 for every ticket, so it should be proportional. Just to see that a little bit clearer, let's draw a little table here. So, number of tickets; and then price, the total price. We're assuming I never buy the popcorn. So, if I buy one ticket, the price is going to be 10.50. If I buy two tickets, it's gonna be two times 10.50, or $21.00. If I buy three tickets, gonna be three times 10.50, which is what? 31.50. And so, you can see the ratio between price and number of tickets, it's always going to be 10.50. 10.50 divided by one; 21 divided by two; 31.50 divided by three; it's always going to be 10.50. That's 'cause the price, put another way, the price is just going to be 10.50 times the number of tickets. So, clearly a proportional relationship.