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The number of daily visitors to a website decreased 9% last month to 3003. How many daily visitors were there before the site decrease

nmasanta
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Erika
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  • Welcome to Mathematics Stack Exchange. $X\times0.91=3003$ – J. W. Tanner Mar 16 '20 at 03:30
  • I'm especially interested in solutions to this problem that use the fact that $3003=\binom{15}{5}$. – user729424 Mar 16 '20 at 03:31
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    @AndrewOstergaard: $\dfrac{15!}{5!10!}=7\times13\times3\times11$; divide that by $\dfrac{7\times13}{100}$ to get the answer $3\times11\times100$ – J. W. Tanner Mar 16 '20 at 03:41
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    @J.W.Tanner Awesome! Now I'm trying to think if there's any combinatorial significance to the fact that $1-\dfrac{9}{100}=\dfrac{14\cdot13}{200}$, because if there is, then we could use your idea to make an even more combinatorial solution! Unfortunately I can't think of any just yet. In any event, thanks for your idea! – user729424 Mar 16 '20 at 03:49

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You simply have to solve the equation:

$x\cdot\left(1-\frac9{100}\right)=3003$

Rushabh Mehta
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wlsdnwlsntus
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