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?
2 answers
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
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
1 answer