Aaden took a taxi from his house to the airport. The taxi company charged a pick-up fee of $3.10 plus $2.75 per mile. The total fare was $27.85, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.

Answer 1

To find the number of miles Aaden traveled in the taxi, we can set up the equation based on the information provided.

Let \( x \) be the number of miles in the taxi ride.

The total fare can be calculated as follows:

• The pick-up fee is $3.10.
• The cost per mile is $2.75 per mile, so for \( x \) miles, the cost would be \( 2.75x \).

The total fare equation can be expressed as:

\[ 3.10 + 2.75x = 27.85 \]

Now, we will solve for \( x \).

1. Subtract the pick-up fee from both sides:

\[ 2.75x = 27.85 - 3.10 \]

\[ 2.75x = 24.75 \]

2. Now, divide both sides by 2.75 to isolate \( x \):

\[ x = \frac{24.75}{2.75} \]

3. Performing the division:

\[ x = 9 \]

Therefore, the number of miles in the taxi ride is \( \boxed{9} \).