A Taylor Swift concert is selling tickets. Two kinds of tickets to an outdoor concert were sold: lawn tickets and seat tickets. Fewer than 400 tickets in total were sold. Lawn tickets cost $30 each and seat tickets cost $50 each. The organizers want to make at least $14,000 from ticket sales.

Question

Which of the following linear systems models the sale of concert tickets?

(1 point)
Responses

x+y>400 and 30x+50y≥14000
x+y>400 and 30x+50y≥14000

x+y<400 and 30x+50y≤14000
x+y<400 and 30x+50y≤14000

x+y<400 and 30x+50y≥14,000

Answer 1

The correct linear systems model for the sale of concert tickets is:

x + y < 400 (to represent that fewer than 400 tickets were sold)
30x + 50y ≥ 14,000 (to represent that the organizers want to make at least $14,000 from ticket sales)

Therefore, the correct option is:

x + y < 400 and 30x + 50y ≥ 14,000