Question

Your cell phone plan costs ​$39.99 per month plus ​$0.15 for each text message you send or receive. You have at most ​$47 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next​ month?

Answer 1

46 texts can be sent or received.

Explanation:

Since we have 47 dollars, we have to first subtract the flat fee of 39.99, which is 7.01.

Now we do 7.01, the amount of money left, divided by the cost per sent or received text: 7.01/0.15 = 46.7333333 infinitely.

However, we can't stop there. Since you can't send .733333 of a text, we will have to round down or up. However, we can't round up because that would make us go over the 47 dollars we have to spend. So, we have to round down to 46 texts, our final answer.

Answer 2

In this case, the cost of the cell phone plan is $39.99, and the cost of each text message is $0.15. You have $47 to spend on your cell phone bill. Therefore, the maximum number of text messages you can send or receive is:

$47 - $39.99 / $0.15 = <<47-39.99/0.15=46.73>>46.73

Since you cannot send or receive a fraction of a text message, the maximum number of text messages you can send or receive is 46.

Note: You may have arrived at a different answer if you rounded the result of the division before converting it to an integer. In this case, the maximum number of text messages you can send or receive would be 47 instead of 46.