Question

Brandon spends his afternoon picking apples from an orchard. He notices that if he groups the apples he picked by 5's or 6's, then he ends up with 3 left over. If he groups by 7's or 8's, he has 5 left over. If Brandon knows that he picked between 1000 and 2000 apples, how many did he pick?

Answer 1

Hello there!

a - 15 = 28k 
a = 28k + 15
n = 30a + 3 = 30(28k + 15) + 3 = 840k + 453.
The only number that would fit between 1000 and 2000 is 1293.

In short, your answer is 1293.

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