Multiple choice

Three seminars were conducted on healthy eating, lifestyle and stress. The ratio of number of attendees in each seminar was 7:9:8 and it was known that a person attends either one or all three seminars. If 144 people from a total of 1392 people attending the seminars, came to all 3 of them. Considering the people that attended one seminar only, what is the average number of people that went for healthy eating or lifestyle?

  1. $320$
  2. $160$
  3. $480$
  4. $288$
  5. $None of these$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Working backwards from option A (320), let x be the ratio multiplier. Total people attending all 3 = 144. People attending only one seminar: healthy eating = 7x-144, lifestyle = 9x-144. Average = ((7x-144) + (9x-144))/2 = 320. Solving: 16x-288 = 640, so 16x = 928, x = 58. This checks with the total.

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