Question

The fifty people at a library are only allowed to sit in groups of 3,4, or 5 people. If all 50 people are seated, the greatest possible number of groups is

Answer 1

16

Explanation:

50÷3=16R2

Second largest multiple of 3 that is smaller than 50=45

45÷3=15 groups of 3 people each

50-45=5

=1 group of 5 people

Greatest possible number of groups=15+1

=16