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I tried to solve the number problem below and would like to get input on the final solution I came up with. Thanks in advance!

(a) If n is a multiple of 7, how many numbers there that are multiples of 7 between n and n + 700 (inclusively)? Answer * 101*

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    $\begingroup$ That's correct but you should really ask for input on your reasoning rather than just your answer. $\endgroup$
    – anon
    Commented Sep 7, 2011 at 20:11
  • $\begingroup$ I Will do that! $\endgroup$
    – user10695
    Commented Sep 7, 2011 at 22:44

1 Answer 1

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Every 7th number is a multiple of 7. So, the multiples bigger than $n$ are $n+7$, $n+2\cdot7$, and so on. Dividing 700 by 7 tells us that there are 100 such numbers, and we also need to count $n$ itself, giving 101.

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  • $\begingroup$ Thanks. I was not sure if what I had was correct. $\endgroup$
    – user10695
    Commented Sep 7, 2011 at 22:43

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