Please help, Im having a hard time

Question

An airline charges $150 for an economy class seat, $300 for a business class seat, and $450 for a first class seat. There are two times as many economy class seats as business class seats on an airplane. The revenue from selling all 65 seats on the airplane is $15,000. How many of each type of seat does the airplane have?

Answer 1

You must first make an equation based on the information provided in the question.

It is stated that the $15,000 in revenue came from selling 65 seat. Of these 65 seat, we know there were 2 times as many economy passengers as there are business passengers. So let's make some variables. If we name business passengers "x" then that means economy passengers must be "2x" the total of the economy and business passengers is 3x, meaning the amount of first class passengers would be "65-3x"

Lets write the equation:

150(2x) + 300x + 450(65-3x) = 15000

Solve for x, you will get x=19

economy is 2x which equals 38 passengers

business is x which equals 19 passengers

first class is 65-3x which equals 8 passengers

Answer 2

b represents the number of business seats

2b represents the number of economy seats

65 - 3b represents the number of first class seats

150(2b) + 300b + 450(65 - 3b) = 15000

Can you solve for b and anser?