Question

Juan's cell phone company charges $35 a month for phone service plus $0.50 for each text message. How many text messages does juan send in a month if his bill was $52

Answer 1

34

Step-by-step explanation:

   The minimum charges for the phone service is $35. For, each text message, $0.50 is charged over and above the minimum charges.

   This problem can be modeled as a linear equation in the number of text messages sent as follows:$\textrm{Total bill = Minimum charges + (Charge per message)x(Number of messages)}$

$\textrm{Total Bill = }35\textrm{ + (Number of messages)x}( 0.50)$

   Given that the total bill is $52, number of text messages can be easily computed.

$52\textrm{ = }35+\textrm{(Number of messages)x}0.50$

$\textrm{(Number of messages)x0.50 = }52-35=7$

$\textrm{Number of messages = }\frac{7}{0.5}=14$

∴Number of text messages Juan sent = 14.