Question

13. So far, two-thirds of the seniors bought prom

tickets. If they need a minimum of 250 people
to attend in order to keep the venue, how
many students must be in the senior class to
ensure they sold enough tickets? Please write out the equation

Answer 1

`(2)/(3)x \geq 250`

Explanation:

Let x be the number of students in the senior class.

If two-thirds of the seniors bought prom tickets and a minimum number of 250 tickets needs to be sold, the inequality that models this scenario is:

`\boxed{(2)/(3)x \geq 250}`

Solving the inequality:

`\implies (2)/(3)x \geq 250`

`\implies 2x \geq 250 \cdot 3`

`\implies 2x \geq 750`

`\implies x \geq 750 / 2`

`\implies x \geq 375`

Therefore, there must be at least 375 students in the senior class to ensure they sold enough tickets to keep the venue.