How many numbers between $1000$ and $2000$ leave a remainder of $3$ when divided by $47?$
We can rewrite this as1000≤47x+3≤2000, which we can simplify
997≤47x≤1997
211047≤x≤422347
The only natural numbers that fit in that range are 22 through 42, and there are 21 numbers in that range.