Greetings and Happy Holidays!
Let x represent the total area of land
We can create an equation to solve for the unknown, this being the total area:
[tex]x= \frac{1}{3}x+ \frac{1}{4}x+ \frac{3}{8}x+9 [/tex]
Combine like terms (terms with the same variable and degree):
[tex]x= \frac{1}{3}x+ \frac{2}{8}x+ \frac{3}{8}x+9[/tex]
[tex]x= \frac{1}{3}x+\frac{5}{8}x+9[/tex]
[tex]x= \frac{8}{24}x+\frac{15}{24}x+9[/tex]
[tex]x=\frac{23}{24}x+9[/tex]
Add [tex] -\frac{23}{24}x [/tex] to both sides.
[tex](x)+(-\frac{23}{24}x)=(\frac{23}{24}x+9)+(-\frac{23}{24}x)[/tex]
[tex]x-\frac{23}{24}x=9[/tex]
[tex]\frac{24}{24}x-\frac{23}{24}x=9[/tex]
[tex]\frac{1}{24}x=9[/tex]
Divide both sides by [tex]\frac{1}{24}[/tex]
[tex]\frac{\frac{1}{24}x}{\frac{1}{24}}=\frac{9}{\frac{1}{24}} [/tex]
[tex]x=(9)(\frac{24}{1})[/tex]
[tex]x=(\frac{9}{1})(\frac{24}{1})[/tex]
[tex]x=\frac{216}{1}[/tex]
[tex]x=216[/tex]
The Answer Is:
[tex] \left[\begin{array}{ccc}x=216\end{array}\right] [/tex]
James has 216 square units of land.
Hope this helps!
-Benjamin
