Question

An airline charges $150 for an economy class seat, $450 for a business class seat, and $600 for a first-class seat. There are three times as many economy class seats as business class seats on an airplane. The revenue from selling all 60 seats on the airplane is $15,000. How many of each type of seat does the airplane have?

A) Economy class seats: 45, Business class seats: 15, First class seats: 0
B) Economy class seats: 15, Business class seats: 45, First class seats: 0
C) Economy class seats: 30, Business class seats: 20, First class seats: 10
D) Economy class seats: 36, Business class seats: 12, First class seats: 12

Answer 1

To find the number of each type of seat, we can set up a system of equations and solve them. The correct answer is D) Economy class seats: 36, Business class seats: 12, First class seats: 12.

Step-by-step explanation:

To find the number of each type of seat, we can set up a system of equations based on the given information.

Let's denote the number of economy class seats as x, the number of business class seats as y, and the number of first-class seats as z.

From the given information, we know that there are three times as many economy class seats as business class seats. So, we have the equation: x = 3y.

The revenue from selling all 60 seats on the airplane is $15,000. We can set up an equation using the prices of each type of seat: 150x + 450y + 600z = 15000.

We can now solve this system of equations to find the values of x, y, and z. The correct answer is D) Economy class seats: 36, Business class seats: 12, First class seats: 12.