Question 1009950
the number of faculty members = 176.


the ratio of students to faculty members is 23 to 2 which can be written as 23/2.


to maintain the same ratio, you set up an equation with x as the number of students and 176 as the number of faculty.


the ratios must be the same, therefore:


23/2 = x/176


multiply both sides of this equation by 176 to get:


23/2 * 176 = x


solve for x to get x = 2024.


that's the number of students you need in order to keep the ratio of students to faculty at 23/2.


if this is correct, then 23/2 = 2024/176


cross multiply to get 23*176 = 2*2024


simplify to get 4048 = 4048.


the ratios are the same.


your solution is confirmed as good.