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KATRIN_1 [288]
3 years ago
11

It x, y, and z are positive intergers and 3x = 4y = 7z, then the least possible value of x + y + z is???

Mathematics
1 answer:
Dmitry [639]3 years ago
5 0

3x = 4y = 7z \\ \Rightarrow \begin{cases}3x - 4y = 0 \\4y - 7z = 0 \\ 7z - 3x = 0\end{cases} \\ \Leftrightarrow \begin{cases}x =  \frac{4}{3} y\\4y - 7z = 0 \\ 7z - 3( \frac{4}{3}y)  = 0\end{cases}  \\ \Leftrightarrow \begin{cases}x =  \frac{4}{3} y\\4y - 7z = 0 \\ 7z - 4y= 0\end{cases} \\ \Leftrightarrow \begin{cases}x =  \frac{4}{3} y\\ y \\ z =  \frac{4}{7}y \end{cases} \\ x,y,z\: are\: intergers\Rightarrow y=LCM(3,7)=21\Rightarrow x = 28,z = 12 \\ \Rightarrow x + y + z = 61

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3 years ago
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Hello There!

145 is 23.39% of 620

<u><em>HOW TO SOLVE</em></u>

<u><em></em></u>

<u><em>Equation: Y = P% * X</em></u>

<u><em>We need to solve our equation for "P"</em></u>

<u><em>P% = Y/X</em></u>

<u><em>P% = 145/620</em></u>

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<u><em>Convert decimal to percent:</em></u>

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