Question

Members of the drama club collected donations and sold tickets to see their spring play.

The tickets for the Friday night show and the Saturday night show cost the same
amount. On Friday night they collected $125 in donations and sold 120 tickets to see
the play. For the Saturday night show, they collected $180 in donations and sold 110
tickets to see the play.
If the drama club had the same amount of money at the end of each night, which
equation could be used to determine t, the cost per ticket?
O 125 + 120t = 180 + 110t
O 120 + 125t = 110 + 180t
O 125 - 120t = 180 - 110t
O 120 - 125t = 110 - 180t

Answer 1

The equation that could be used to determine the cost per ticket for the drama club is 125 + 120t = 180 + 110t.

Step-by-step explanation:

To determine the cost per ticket, let's assign t as the cost per ticket. According to the given information, on Friday night, the drama club collected $125 in donations and sold 120 tickets, and on Saturday night, they collected $180 in donations and sold 110 tickets. Since the drama club had the same amount of money at the end of each night, we can set up the equation:

Donations on Friday night + (Cost per ticket * Number of tickets sold on Friday night) = Donations on Saturday night + (Cost per ticket * Number of tickets sold on Saturday night)

$125 + 120t = $180 + 110t

Therefore, the equation that could be used to determine t, the cost per ticket, is 125 + 120t = 180 + 110t.