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Brandon spends his afternoon picking apples from an orchard.  He notices that if he groups the apples he picked by fives, six, or sevens, then he ends up with $1$ left over.  If he groups by eights, he has $1$ left over.  If Brandon knows that he picked between $1000$ and $2000$ apples, how many did he pick?

 Jul 28, 2024
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     (5 x 6 x 7 x 8) + 1  =  1680 + 1  =  1681    

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 Jul 29, 2024

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