SOLUTION: at a school event, adults are seated in groups of exactly 6 and children are seated in groups of exactly 20. ifthere are same number of adults as children, what is the minimum numb

Algebra ->  Permutations -> SOLUTION: at a school event, adults are seated in groups of exactly 6 and children are seated in groups of exactly 20. ifthere are same number of adults as children, what is the minimum numb      Log On


   



Question 988258: at a school event, adults are seated in groups of exactly 6 and children are seated in groups of exactly 20. ifthere are same number of adults as children, what is the minimum number of adults attending.
Answer by vleith(2983) About Me  (Show Source):
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Find the least common multiple
to do this, find the prime factors in both 6 and 30
6 = 2*3
20 = 2*2*5
Now find the least common multiple
there are 2 twos in 20, and 1 two in 6. SO use the 2 twoa
LCM+=+2%2A2+%2A+3+%2A+5
LCM+=+60
With 6 adults in a group, you need 10 adult groups to make 60 people