What is the cost per ticket when buying a roll of 25 tickets for 15 dollars?

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Discussion Overview

The discussion revolves around calculating the cost per ticket when purchasing a roll of 25 tickets for 15 dollars, comparing this to the cost of single tickets priced at 75 cents each. Participants explore whether this is a proportion problem and how to derive the cost per ticket from the total cost and number of tickets.

Discussion Character

  • Mathematical reasoning
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant suggests that to find the cost per ticket, you can use the formula: Cost per ticket = Total cost of tickets / Number of tickets.
  • Another participant calculates the cost per ticket as 15/25, resulting in 0.60 dollars per ticket.
  • There is a discussion about whether dividing 25 by 0.75 is appropriate, with some arguing that it leads to "tickets per dollar" instead of the desired "dollars per ticket."
  • Several participants emphasize that the cost of single tickets at 75 cents is irrelevant when calculating the cost per ticket for the roll of tickets.
  • Repetitive confirmations of the calculation yielding 0.60 dollars per ticket are noted, indicating a shared understanding of the arithmetic involved.

Areas of Agreement / Disagreement

Participants generally agree on the calculation yielding 0.60 dollars per ticket; however, there is some contention regarding the relevance of the single ticket price and the method of calculation.

Contextual Notes

Some participants express uncertainty about the appropriateness of using proportions in this context and the implications of different methods for calculating cost per ticket.

mathdad
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Tickets at a fair cost 75 cents each. You can also buy a roll of 25 tickets for 15 dollars. What is the total cost of each ticket if you buy a roll of tickets?

Is this a proportion problem?

Do I divide 25 by 0.75 to find the total price for each ticket?
 
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One way to view this is:

$$\text{Cost per ticket}=\frac{\text{Total cost of tickets}}{\text{Number of tickets}}$$

In effect, you are computing an average. :D
 
So, 15/25 = 0.60
 
RTCNTC said:
Tickets at a fair cost 75 cents each. You can also buy a roll of 25 tickets for 15 dollars. What is the total cost of each ticket if you buy a roll of tickets?

Is this a proportion problem?

Do I divide 25 by 0.75 to find the total price for each ticket?
If you divide 25 tickets by 0.75 dollars you will have "tickets per dollar" when you want "dollars per ticket". But, anyway, the "75 cents each" is if you by single tickets and has nothing to do with buying a roll of tickets. You are told that you can get 25 tickets for 15 dollars. You want to determine "dollars per ticket" in this case. That is (15 dollars)/(25 tickets). 15/25= 3/5= 0.60.
 
HallsofIvy said:
If you divide 25 tickets by 0.75 dollars you will have "tickets per dollar" when you want "dollars per ticket". But, anyway, the "75 cents each" is if you by single tickets and has nothing to do with buying a roll of tickets. You are told that you can get 25 tickets for 15 dollars. You want to determine "dollars per ticket" in this case. That is (15 dollars)/(25 tickets). 15/25= 3/5= 0.60.

This is what I did a few replies ago. I also got 0.60.
 

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