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. Then, solve the equation to determine how many text messages Aaron sent.(4 points)

Question

Equation- use t for the variable:

Number of text messages:

Answer 1

To set up the equation for Aaron's total phone bill, we start with the fixed monthly charge of $48 and add the cost for each text message, which is $0.25 per message. The equation can be written as follows:

\[ 48 + 0.25t = 62 \]

Where \( t \) represents the number of text messages Aaron sent.

Next, we can solve for \( t \):

1. Subtract 48 from both sides of the equation:

\[ 0.25t = 62 - 48 \] \[ 0.25t = 14 \]

2. Divide both sides by 0.25 to isolate \( t \):

\[ t = \frac{14}{0.25} \]

3. Calculate the right side:

\[ t = 14 \div 0.25 = 14 \times 4 = 56 \]

So, the total number of text messages Aaron sent this month is

\[ \boxed{56} \]