Multiple choice

Choose the correct answer from the alternatives given. Directions for question 71 to 75: Study the following table carefully and answer the questions given below. Number of Students Enrolled With Five Colleges over the Years Year/College A B C D E 2004 450 320 400 480 520 2005 480 350 380 500 540 2006 420 300 410 520 460 2007 460 360 430 470 480 2008 470 340 390 530 530 What is the ratio between the average number of students enrolled with all colleges together in 2007 and 2008, respectively?

  1. 108 : 113

  2. 108 : 117

  3. 110 : 113

  4. 111 : 113

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total students in 2007: 460+360+430+470+480 = 2200. Average = 2200/5 = 440. Total students in 2008: 470+340+390+530+530 = 2260. Average = 2260/5 = 452. Ratio = 440/452 = 110/113.

AI explanation

To find the required ratio, first calculate the average number of students enrolled in 2007 by summing the enrollments (460 + 360 + 430 + 470 + 480) to get 2200, and dividing by 5 to get an average of 440. Next, calculate the average for 2008 by summing the enrollments (470 + 340 + 390 + 530 + 530) to get 2260, and dividing by 5 to get an average of 452. Finally, simplify the ratio 440:452 by dividing both sides by their greatest common divisor, 4, yielding the final proportion. The result is 110:113.