Question

Tickets to a school dance cost $6 in advance and $10 at the door. Student council (who is sponsoring the dance) wants to raise a minimum of $300 that evening in ticket sales alone.

Write an inequality to represent the scenario.

Answer 1

The inequality that represents the scenario is: 6x+10y≥300.

Explanation:

With the information provided, you can say that the amount raised in ticket sales would be equal to the result of multiplying the price per ticket sold in advance for the number of these tickets sold plus the result of multiplying the price per ticket sold at the door for the number of these tickets sold. Also, you know that the result of this has to be greater than or equal to 300 and the scenario can be expressed as:

6x+10y≥300, where

x is the amount of tickets sold in advance

y is the amount of tickets sold at the door