A theater earns $3640 from a concert. An orchestra ticket costs three times as much as a balcony ticket. Write a system of linear equations that represents this situation. What is the price of each type of ticket?
That good question
Based on this data, you cannot calculate the price of each type of ticket.
You can only determine the earnings for each type of ticket.
o = earnings of orchestra ticket
b = earnings of balcony ticket
A theater earns $3640 from a concert means:
o + b = 3640
An orchestra ticket costs three times as much as a balcony ticket means:
o = 3 b
Put tis value in first equation.
o + b = 3640
3 b + b = 3640
4 b = 3640
b = 3640 / 4 = 910
o = 3 b = 3 • 910 = 2730
Earnings of orchestra tickets:
$2730
Earnings of balcony tickets:
$910