SOLUTION: The teacher noticed there were fewer than 100 students on the playground. When she counted them by twos, there was one student left over. In fact, when she counted them by threes,

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Question 127058: The teacher noticed there were fewer than 100 students on the playground. When she counted them by twos, there was one student left over. In fact, when she counted them by threes, fours, fives or sixes there was always one student left over. How many students were on the playground.
Can you please help us with this equation?
We have come up with 97/2 =48.5
I am really not sure if this is the correct way to do this problem.
Thank you
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The teacher noticed there were fewer than 100 students on the playground. When she counted them by twos, there was one student left over. In fact, when she counted them by threes, fours, fives or sixes there was always one student left over. How many students were on the playground.
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The least common multiple of 2,3,4,5,6 is 60
There are 60+1 = 61 students on the playground.
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Cheers,
Stan H.