391 boys and 323 girls are distributed in groups in such a manner that each group has equal number of members and that the groups have either only boys or only girls. What is the minimum number of groups?
Given:
Number of boys = 391
Number of girls = 323
Solution:
Find the GCD of 391 and 323:
GCD(391, 323) = 17
Determine the number of groups:
Number of boys' groups = = 23
Number of girls' groups = = 19
Calculate the total number of groups:
Total number of groups = 23 (boys) + 19 (girls) = 42
Therefore, the minimum number of groups is 42.
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