Aaron's cell phone company charges $48 a month for phone service plus $0.25 for each text message. Aaron's total phone bill this month was $62. Write the equation you could use to solve for the total number of text messages (t) that Aaron sent this month.

Question

Then, solve the equation to determine how many text messages Aaron sent. (4 points)
Ite
Ite
Iter
Equation- use t for the variable:
Iten
Item
Number of text messages:

Answer 1

To find the total number of text messages (t) that Aaron sent this month, we can set up the equation based on the information given:

The total bill is made up of a fixed monthly service charge of $48 and a variable cost of $0.25 for each text message sent.

The equation can be represented as follows:

\[ 48 + 0.25t = 62 \]

Now, we will solve the equation for \( t \):

1. Subtract 48 from both sides: \[ 0.25t = 62 - 48 \] \[ 0.25t = 14 \]

2. Divide both sides by 0.25 to isolate \( t \): \[ t = \frac{14}{0.25} \]

3. Calculate \( t \): \[ t = 14 \div 0.25 = 14 \times 4 = 56 \]

Therefore, the total number of text messages Aaron sent this month is: \[ \text{Number of text messages: } 56 \]