How Many Minutes Does $100 Buy on a $.20/Minute Prepaid Cellphone Plan?

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Discussion Overview

The discussion revolves around calculating the number of minutes one can purchase with $100 on a prepaid cellphone plan that charges $0.20 per minute. Additionally, there are inquiries about the cost per text message based on a separate plan offering 250 messages for $5. The conversation includes both theoretical calculations and practical considerations.

Discussion Character

  • Mathematical reasoning
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant initially guesses that $100 buys 500 minutes, expressing uncertainty about the calculation.
  • Another participant confirms the calculation, explaining the division of dollars by the cost per minute, while noting that the actual usage may vary based on how the provider counts minutes.
  • A participant suggests a mental approach to the calculation, emphasizing the scaling of the cost from one dollar to one hundred dollars.
  • Several participants discuss the cost of text messages, with one asking for clarification on the cost per message based on a $5 charge for 250 messages.
  • There is confusion regarding the calculation of the cost per text message, with one participant asserting that it is $0.02, while another corrects this to $0.02 per message, not cents.
  • One participant expresses frustration over the questioning of their answer, seeking confirmation rather than further inquiry.
  • A participant humorously remarks on the absurdity of a text message costing $2, highlighting the separate nature of the text message discussion from the initial minutes calculation.

Areas of Agreement / Disagreement

Participants generally agree on the calculation of minutes for the cellphone plan, but there is disagreement and confusion regarding the cost per text message, with differing interpretations of the calculations involved.

Contextual Notes

There are unresolved aspects regarding the assumptions made about how minutes are counted by the provider and the clarity of the calculations for text message costs.

Embison
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How many minutes do you get for $100 if the cellphone plan charges .20 a minute?

I think it's 500 minutes but I'm not sure...I just kinda guessed randomly in my head. But I am not exactly sure how I came up with it lol.
 
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Yes, that's correct. It follows from dividing the two numbers so that the units cancel:

[tex]\frac{100~\mbox{dollars}}{ 0.2~\frac{\mbox{dollars}}{\mbox{minute}}} = \frac{1000}{2} \frac{\mbox{dollars}~\cdot~\mbox{minute}}{\mbox{dollars}} = 500~\mbox{minutes}.[/tex]

Of course, that's the theoretical maximum you get. Unless the company does to the second counting, "a minute" is anywhere between 0 seconds and 60 seconds, so the actual total could be less - e.g., make 500 one second phone calls and you might be out $100!
 
Thank you for all of that information! I really appreciate your help.
 
Most people can think their way through the steps to do this calculation in their head.

THINK: 20 cents for 1 minute, this upscales to 1 dollar for 5 minutes. You might simply think, "one fifth of a dollar for 1 minute, five times that is 1 dollar for 5 minutes." The ratio is the same.
Next understand that 100 dollars is 100 times larger than for 1 dollar. Just multiply the "5 minutes" the corresponding factor of 5.
 
How much does each text message cost if I get 250 text messages a month for $5?

is that 0.02 cents each or something?
 
Embison said:
How much does each text message cost if I get 250 text messages a month for $5?

is that 0.02 cents each or something?

In other wording, you ask, "how many dollars for one text message?".
Simple ratio, and convenient numbers. 5.00 Dollars for 250 messages. You can divide by 5 as simple mental computation. What is that? Your turn!
 
I don't know I already guessed 0.02 cents each.
 
You're pretty good at guessing. :D
 
Embison said:
I don't know I already guessed 0.02 cents each.

Do not guess. Follow the described processes. You should be able to perform the processes in your head. If you cannot do these in your head, then use pencil and paper calculations to find the results.
 
  • #10
You said to divide 250 by 5 and that comes out to 50. I think you're supposed to divide 5 by 250 though which comes out to 0.02 cents. Why are you asking me for the answer when I am asking you? lol I already said my answer was 0.02 from the beginning but I wanted confirmation that I was right so I know for sure.
 
  • #11
It comes out to 0.02 dollars, not 0.02 cents.
 
  • #12
In post #5 I am asking a completely separate question from my original post. Nothing about my first post should be factored into my question in post #5.

Can you imagine 1 text message costing $2 each haha.
 

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