Question

Two airlines offer special group rates to your school’s Spanish Club for a trip to Mexico City. Mexican Air airline offers a round trip airfare of $250 per person. Fiesta airline offers a round trip airfare of $150 per person if the club agrees to pay a one-time group rate processing fee of $1,000.
a. Which airline offers the better deal if only nine students from the Spanish Club are able to fly to Mexico City? Explain your reasoning.
b. Find the number of students for which the total costs are the same. Explain how you determined the number of students.

Answer 1

Answer:

a. The Mexican Airline offers a better deal for 9 students to travel.  

b. 10 students

Step-by-step explanation:

a. The Mexican Air airline offers a round trip airfare of $250 per person.

So, for 9 students the fare will be total $(250 × 9) = $2250

Now, the Fiesta airline offers a round trip airfare of $150 per person if the club agrees to pay a one-time group rate processing fee of $1000.

So, for 9 students the total fare will be = $[1000 + (150 × 9)] =$2350.

Therefore, the Mexican Airline offers a better deal for 9 students to travel.  (Answer)

b. Let for x students both the airline offers the same total costs.

Then we can write  

250x = 1000 + 150x {From the conditions given}

⇒ 100x = 1000

⇒ x = 10

So, if the number of students is 10, then only both the airlines will take same fare. (Answer)