Question

$$\frac{10x}{100}+\frac{56000-\underline{x}}{12}=6400$$

Answer

x=104000

Solution


Simplify  \(\frac{10x}{100}\)  to  \(\frac{x}{10}\).
\[\frac{x}{10}+\frac{56000-x}{12}=6400\]
Multiply both sides by \(60\) (the LCM of \(10, 12\)).
\[6x+5(56000-x)=384000\]
Expand.
\[6x+280000-5x=384000\]
Simplify  \(6x+280000-5x\)  to  \(x+280000\).
\[x+280000=384000\]
Subtract \(280000\) from both sides.
\[x=384000-280000\]
Simplify  \(384000-280000\)  to  \(104000\).
\[x=104000\]