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Question 1009950: A university with 176 faculty members wants to maintain a ratio of 23 students to 2 faculty members. How many students should they enroll to maintain that ratio?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! 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.
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