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

  • Thread starter Thread starter Embison
  • Start date Start date
AI Thread Summary
A $100 investment in a prepaid cellphone plan that charges $0.20 per minute yields 500 minutes, calculated by dividing the total dollars by the cost per minute. This calculation assumes that a minute is counted as a full 60 seconds, which may not always be the case in practice. Additionally, the discussion shifts to the cost of text messages, where 250 messages for $5 results in a cost of $0.02 per message, confirming the importance of clear calculations. Participants emphasize the need for accurate mental math and verification of answers. The conversation highlights the significance of understanding ratios in these financial calculations.
Embison
Messages
49
Reaction score
0
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.
 
Mathematics news on Phys.org
Yes, that's correct. It follows from dividing the two numbers so that the units cancel:

\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}.

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.
 
Back
Top