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More than 100 students signed up to participate in the Geography Bowl competition. If teams of 3 could be made with no students left out, and teams of 9 could also be made with no students left out, what is the fewest number of students who could have signed up for the Geography Bowl? 

 Jul 11, 2022
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The answer is 107.

 Jul 11, 2022
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More than 100 students signed up to participate in the Geography Bowl competition. If teams of 3 could be made with no students left out, and teams of 9 could also be made with no students left out, what is the fewest number of students who could have signed up for the Geography Bowl? 

 

If a number is evenly divisible by 9, it's automatically evenly divisible by 3, so don't worry about the 3. 

 

So, what's the first number larger than 100 that's evenly divisible by 9. 

 

Remember your multiplication tables?  9 x 12 = 108   and there's your answer.  

 

Whoever said 107 should not be posting answers without also posting the work to get there.   

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 Jul 11, 2022

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