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?
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?
I multiplied 5 • 6 • 7 • 8 and got 1680. Then I added 1 to it.
Brandon picked 1681 apples
check answer
1681 / 5 = 335 R 1
1681 / 6 = 280 R 1
1681 / 7 = 240 R 1
1681 / 8 = 210 R 1
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