SOLUTION: ticket for a show cost $5 for the balcony seat and $12 for the orchestra seat.on sunday 300 ticket were sold for the amount of $2410.how many of each type of ticketa wee sold that

Question 597144: ticket for a show cost $5 for the balcony seat and $12 for the orchestra seat.on sunday 300 ticket were sold for the amount of $2410.how many of each type of ticketa wee sold that day
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

This process works for "two kinds of ticket" problems and "two kinds of coins" problems.

Let

represent the number (as yet unknown) of one of the items. Let

represent the number of the other item.

The sum

is then equal to the total number of items (300 in this problem).

Each type of item has a value

per item. For your particular ticket problem, the value of each of the

items is $5, while the value of each of the

items is $12. In a coin problem, dimes are worth 10 cents, quarters 25 cents, and so on.

The value of all of the

items is the value of one of them times the number of them, that is:

, while the value of the

items is, similarly:

. The sum of these values is the total value given in the problem. For your problem, $2410.

From this information, you can create two equations (a necessary thing to be able to do because you have two variables, namely

and

).

In general:

Specifically for your problem:

Given the simplicity of the first equation in these types of problems, I recommend that you use the substitution method to solve the 2X2 system of equations.

John

My calculator said it, I believe it, that settles it

The Out Campaign: Scarlet Letter of Atheism

RELATED QUESTIONS
Orchestra seats for a Symphony performance cost $6 more than balcony seats. If 400... (answered by ikleyn)

Tickets to a concert cost $15.00 for the balcony and $20.00 for an orchestra seat. If 540 (answered by checkley77)

An entertainment promotor for a magic show must make $161,000 from ticket sales in order... (answered by ankor@dixie-net.com)

A Broadway theater has 400 seats, divided into orchestra, main, and balcony... (answered by josgarithmetic)

I need help...Please:) Page 504 Number 4 I have to solve using two equations with... (answered by jim_thompson5910)

At a Performing Arts Center, seats in the orchestra section cost $18 and seats in the... (answered by math_helper)

A concert sells out a 20,000 seat arena. Main seat tickets cost $55, and back seat... (answered by TutorDelphia)

Six times as many grandstand tickets(g) as box-seat tickets(b) were sold for the baseball (answered by josmiceli)

Hey, I'm having some major trouble on this problem. If you could please help me out with... (answered by josmiceli)