Question

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.

Answer 1

Explanation:

total eranings (t) = n of orcestra tickets sold × price + n of balcony tickets sold × price

3640 = 148 x + 76y

orchestra ticket = 3 times as balcony

x = 3y

y =x/3

3640 = 444 y+ 76y

3640 = 520y

y = 7 $ balcony

x = 21 $ orchestra