Question

So far 2/3 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 the event?

A) 250
B) 375
C) 500
D) 375

Answer 1

The correct answer is B) 375 students, which is determined by solving the inequality (2/3)x ≥ 250, where 'x' is the total number of students in the senior class.

Step-by-step explanation:

The question asks for the number of students in the senior class to ensure that a minimum of 250 people attend prom, given that 2/3 of the seniors have bought tickets. To find the total number of students in the senior class, we can set up an equation with the total number of seniors represented by 'x'.

Since 2/3 of the seniors bought tickets and this number needs to be at least 250, we use the equation (2/3)x ≥ 250. To solve for 'x', we multiply both sides by 3/2, which gives us x ≥ 375. This means there must be at least 375 students in the senior class to ensure that 250 people attend prom, making option B) 375 the correct answer.