Let the monthly salary = x
Tom spending 1/5 of his monthly salary on rent and 1/9 of his monthly salary for his car payment,
So, totally spent =
[tex]\frac{1}{5}x+\frac{1}{9}x=(\frac{1}{5}+\frac{1}{9})x=(\frac{9}{45}+\frac{5}{45})x=\frac{14}{45}x[/tex]So, the left from the salary =
[tex]x-\frac{14}{45}x=(1-\frac{14}{45})x=(\frac{45}{45}-\frac{14}{45})x=\frac{31}{45}x[/tex]Given: Tom has 1488 left
So,
[tex]\frac{31}{45}x=1488[/tex]Solve for x:
[tex]\begin{gathered} 31x=45\cdot1488 \\ \\ x=\frac{45\cdot1488}{31}=2160 \end{gathered}[/tex]So, the answer is the monthly salary = $2,160
