SOLUTION: A theater group plans to sell 500 tickets for a play. They charge $45 for each orchestra seat and $30 for each balcony seat, and they plan to collect $18000 for a performance. How
Algebra.Com
Question 837602: A theater group plans to sell 500 tickets for a play. They charge $45 for each orchestra seat and $30 for each balcony seat, and they plan to collect $18000 for a performance. How many of each type of tickets do they expect to sell?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
x= number of orchestra seats
y= number of balcony seats
1 x + 1 y = 500 .............1
Total value
45 x + 30 y = 18,000 .............2
Eliminate y
multiply (1)by -30
Multiply (2) by 1
-30 x -30 y = -15,000
45 x + 30 y = 18,000
Add the two equations
15 x = 3,000
/ 15
x = 200
plug value of x in (1)
1 x + 1 y = 500
200 + y = 500
y = 500 -200
y = 300
y = 300
x= 200.00 number of orchestra seats
y= 300.00 number of balcony seats
m.ananth@hotmail.ca
RELATED QUESTIONS
I have no idea how to go about even setting this up. Any help is greatly appreciated as... (answered by stanbon)
A Broadway theater has 400 seats, divided into orchestra, main, and balcony... (answered by josgarithmetic)
PROBLEM:
THE FORREST THEATER CAN SEAT A TOTAL OF 360 PEOPLE. THEY TAKE IN $15,150 WHEN... (answered by ptaylor)
A Broadway theater has 600 seats, divided into orchestra, main, and balcony... (answered by ikleyn)
a broadway theatre has 500 seats,divided onto orchestra,main,and balcony... (answered by mananth)
Problema Solution
A Broadway theater has 700 seats, divided into orchestra,main (answered by ikleyn,greenestamps)
A Broadway theater has 600 seats, divided into orchestra, main, and balcony seating.... (answered by htmentor)
A Broadway theater has 700 seats, divided into orchestra, main, and balcony... (answered by josgarithmetic,MathLover1,greenestamps)
I need to set up the 3 by 3 systems of linear equations and solve for them on the... (answered by checkley77)