Question

participants from China, Japan and Korea will be attending a conference. 96 of them are from China, 72 from Japan and 48 from Korea. The organiser wishes to group them into discussions group such that the participants are distributed equally among the groups. The number of discussion topics that the organiser needs to prepare depends on the number of discussion group formed.
I) what is the greatest no of discussion topics that the organiser needs to prepare for the conference.
2)how many China participants are in each group.


Please just don't give me the answer... I require an explanation. ​

Answer 1

Answer:

Part (i) is looking for HCF.

Prime Factorization

China: 96 = 2^5 x 3

Japan: 72 = 2^3 x 3^2

Korea: 48 = 2^4 x 3

(i) HCF = 2^3 x 3 = 24

So there are the most 24 groups, hence 24 discussion topics

(ii) Number of China participants per discussion group = 2^2 = 4

by swati

Step-by-step explanation:

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