Question

At the Reyers family reunion, McKenzie noticed that the number of people attending could be divided into three equal groups. She also noticed the number could be divided equally into groups of four, five, or six. What is the smallest number of people who could have attended the reunion? *
30 people
60 people
90 people

Answer 1

So basically, we want to find a number that is evenly divisible by 3, 4, 5, 6

All three choices are divisible by 5 because they all end in 0
All three choices are divisible by 3 because they are all divisible by 30, and 30 is divisible by 3

So let's first check which numbers are divisible by 4
30/4= 7.5
60/4= 15
90/5=18

So now we just need to check if 60 or 90 is divisible by 6
60/6=10
90/6=15

Since both 60 and 90 work, the smallest number of people would be 60

Hope this helps