Question #bf352

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Question #bf352

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Answer 1 · 2018-01-18T23:11:52

$50$ $50$

Explanation:

We're looking for number $x$ $x$ , where $90 %$ $90%$ of $x$ $x$ is $45$ $45$ . Thus we can make this equation:

$x \cdot 90 % = 45$ $x * 90% = 45$

aka

$x \cdot \frac{9}{10} = 45$ $x*9/10=45$

If we multiply the entire equation by $10$ $10$ and then divide everything by $9$ $9$ (or multiply everything by $\frac{10}{9}$ $10/9$ ), we can isolate $x$ $x$ on the left side and find its value:

$x \cdot \frac{9}{10} \cdot \frac{10}{9} = 45 \cdot \frac{10}{9}$ $x*9/10 *10/9=45*10/9$

$x = \frac{450}{9} = 50$ $x = 450/9 = 50$

So, $90 %$ $90%$ of $50$ $50$ is $45$ $45$

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Question #bf352

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