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Given I have the number $50,000$ which is $70$% of $X$. How do I calculate what $X$ is without guessing.

Thanks

n55
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ColdTree
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  • Since $0.7 \times X = 50000$, we have that $X = \frac{50000}{0.7}$. – eigenchris Jul 29 '15 at 20:54
  • @eigenchris I posted my answer simultaneously to your comment. Comments like yours are something I really don't get about this site, though. Your comment is an answer, so why didn't you post it as one? –  Jul 29 '15 at 20:55
  • @MikeHaskel I guess you're right, it should be an answer. – eigenchris Jul 29 '15 at 20:56

3 Answers3

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I think it is much more natural to solve such questions without any use of variables. If $50000$ is seventy percent then one percent is $50000/70$, and so one hundred percent is $100\cdot 50000/70$. That's how I learned it in school, years before I had heard about equations and variables. That's how I do it to this day.

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We have $0.7 * X = 50,000$, so $X = \frac{50,000}{0.7} \approx 71,428.57$.

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Since, $70\%=0.70$, you may write $$ 0.70\times X=50,000 $$ and then solve it.

Olivier Oloa
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