Now,
Number of people interested in music = 60
Number of people interested in dance = 84
Number of people interested in handicrafts = 108
Finding number of students in each group
Since we have to divide students into groups
And the number of students in each group will be smaller than 60, 84 or 108
Thus,
Number of students in each group = HCF of 60, 84, 108
Finding HCF
So,
60 = 2 × 2 × 3 × 5
84 = 2 × 2 × 3 × 7
108 = 2 × 2 × 3 × 3 × 3
Thus, HCF = 2 × 2 × 3
= 12
So,
Number of students in each group = 12
Find the number of groups in each art form
Since,
Number of people interested in music = 60
Number of people interested in dance = 84
Number of people interested in handicrafts = 108
And, Number of students in each group = 12
Now,
Number of groups of music = 60/12
Number of groups of dance = 84/12
Number of groups of handicrafts = 108/12
Finding Number of rooms
Since each group each group will be allotted a room
Total number of rooms
= Number of groups in music + dance + handicrafts
= 5 + 7 + 9
= 21
Made by
Davneet Singh
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo
Hi, it looks like you're using AdBlock :(
Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.
Please login to view more pages. It's free :)
Teachoo gives you a better experience when you're logged in. Please login :)