Question

an airplane has 29 seats. the price for coach seat is 600, and the price for a first-class seat is $1,050. the airline collected a total of $21,900 for a flight

Answer 1

Let's assume that x represents the number of coach seats and y represents the number of first-class seats sold.

From the problem, we know that:

x + y = 29 ---(1) (The total number of seats sold is equal to the number of seats on the plane.)

600x + 1050y = 21900 ---(2) (The total revenue collected is the sum of the revenue from coach seats and first-class seats.)

To solve for x and y, we can use the substitution method. Solving for x in equation (1), we get:

x = 29 - y

Substituting this expression for x in equation (2), we get:

600(29 - y) + 1050y = 21900

Expanding and simplifying:

17400 - 600y + 1050y = 21900

450y = 4500

y = 10

Substituting y = 10 in equation (1), we get:

x + 10 = 29

x = 19

Therefore, the number of coach seats sold is 19, and the number of first-class seats sold is 10.

To check if this is correct, we can substitute these values for x and y in equation (2):

600(19) + 1050(10) = 21900

11,400 + 10,500 = 21,900

The total revenue collected is $21,900, which matches the given value in the problem.

So, the airline sold 19 coach seats and 10 first-class seats on the flight.

Answer 2

x = 19

Explanation:

Let's use the following variables:

Let x be the number of coach seats sold.

Let y be the number of first-class seats sold.

We know that there are 29 seats in total, so:

x + y = 29

We also know that the total amount collected for the flight was $21,900, so:

600x + 1050y = 21,900

We can solve this system of equations by substitution or elimination. Let's use elimination.

Multiplying the first equation by 600, we get:

600x + 600y = 17400

Subtracting this equation from the second equation, we get:

450y = 4500

Dividing both sides by 450, we get:

y = 10

Substituting this value into the first equation, we get:

x + 10 = 29

x = 19

Therefore, the airline sold 19 coach seats and 10 first-class seats.