Question

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%

Answer 1

First, let's break down the costs Clovis incurred for his trip.

1. **Cost of the airline ticket**:
- Ticket price = $69
- Sales tax = 15% of $69 = 0.15 × 69 = $10.35
- Total cost of the airline ticket including tax = $69 + $10.35 = $79.35

2. **Baggage fee**:
- Baggage fee = $20

3. **Taxi fare**:
- Distance from the airport = 8 miles
- Taxi fee per mile = $2.50
- Total taxi fare = 8 miles × $2.50/mile = $20

Now, let's sum up all the expenses:

- Total cost = Cost of airline ticket + Baggage fee + Taxi fare
- Total cost = $79.35 + $20 + $20 = $119.35

However, we know Clovis spent a total of $123.35. Thus, to find out how much he tipped the taxi driver:

- Total spending including tip = Total cost + Tip
- $123.35 = $119.35 + Tip
- Tip = $123.35 - $119.35 = $4.00

Now, to find what percent of the taxi fare ($20) he tipped, we use the formula:

\[
\text{Percent Tip} = \left( \frac{\text{Tip}}{\text{Taxi Fare}} \right) \times 100
\]

Substituting the values:

\[
\text{Percent Tip} = \left( \frac{4.00}{20} \right) \times 100 = 0.20 \times 100 = 20\%
\]

Thus, Clovis tipped the taxi driver **20%**.

The answer is **c. 20%**.