Questions: Clovis wants to make a surprise visit to his uncle who lives out of town. He purchases an airline ticket for 69. There is a 15% sales tax on the price of the airline ticket. In addition he must pay a baggage fee of 20. When he arrives at the airport, Clovis takes a taxi to his uncle's house which is 8 miles from the airport. The taxi fee is 2.50 per mile. If Clovis has spent a total of 123.35 for the airline ticket and taxi, at what percent of his fare did Clovis tip the taxi driver? a. 10% b. 15% c. 20% d. 25%

Solution Steps

To solve this problem, we need to follow these steps:

1. Calculate the total cost of the airline ticket including the sales tax.
2. Calculate the total cost of the taxi ride.
3. Determine the total amount spent on the airline ticket and taxi ride.
4. Subtract the total cost of the airline ticket and taxi ride from the total amount spent to find the tip amount.
5. Calculate the tip percentage based on the taxi fare.

The total cost of the airline ticket including the sales tax is calculated as follows:

\[ \text{Ticket Total} = \text{Ticket Price} \times (1 + \text{Sales Tax Rate}) + \text{Baggage Fee} \]

Substituting the values:

\[ \text{Ticket Total} = 69 \times (1 + 0.15) + 20 = 69 \times 1.15 + 20 = 79.35 + 20 = 99.35 \]

The total cost of the taxi ride is given by:

\[ \text{Taxi Total} = \text{Taxi Rate per Mile} \times \text{Taxi Distance} \]

Substituting the values:

\[ \text{Taxi Total} = 2.50 \times 8 = 20.00 \]

The total cost for both the airline ticket and the taxi ride is:

\[ \text{Total Cost} = \text{Ticket Total} + \text{Taxi Total} \]

Substituting the values:

\[ \text{Total Cost} = 99.35 + 20.00 = 119.35 \]

The tip amount is calculated by subtracting the total cost from the total amount spent:

\[ \text{Tip Amount} = \text{Total Spent} - \text{Total Cost} \]

Substituting the values:

\[ \text{Tip Amount} = 123.35 - 119.35 = 4.00 \]

The tip percentage based on the taxi fare is given by:

\[ \text{Tip Percentage} = \left( \frac{\text{Tip Amount}}{\text{Taxi Total}} \right) \times 100 \]

Substituting the values:

\[ \text{Tip Percentage} = \left( \frac{4.00}{20.00} \right) \times 100 = 0.20 \times 100 = 20.00\% \]

Final Answer