HELP! I dont understand my word problem

Question

A= level A seats

B= level B seats

Mr.Conrad says that 540 ticket were sold for swan lake. Level A tickets are $56 each and Level B ticket are $38 each. The total for the ticket sales was $24,120. How many of each ticket type was sold

Answer 1

since 540 tickets were sold we have:

eqn 1)  A +B=540

 

For the money made we have:

eqn 2)  56A + 38B = 24120

 

From eqn 1 we can solve for either A or B and substitute into eqn 2.

From A + B = 540 we can get A=540-B

 

using that in eqn 2 we have:

 

56(540-B)+38B=24120

30240-56B+38B=24120

-18B + 30240 = 24120

-18B = 24120-30240

-18B = -6120

B = (-6120)/(-18)

B = 340

 

A + B = 540

A + 340 = 540

A = 200

 

Use eqn 2 to check our answer:

56A + 38B = 24120

56(200) + 38(340) = 24120

11200 + 12920 = 24120

24120 = 24120

 

Our answer checks as correct.

 

200 level A seats were sold

340 level B seats were sold

 

Answer 2

56x+38(540-x)=24,120

56x+20,520-38x=24,120

18x+20,520=24,120

18x=24,120-20,520

18x=3600

x=3600/18

x=200 $56 tickets sold

540-200=340 $38 tickets sold