so solving the equation or inequality. [tex] \frac{t}{3} + \frac{t}{2} - 350 = 270[/tex]would it be:t=564

The value of t is 744
Here, we want to solve the given equation
We start by multiplying through by the lowest common multiple of 2 and 3
The lowest common multiple of 2 and 3 is 6
Thus, we have;
[tex]\begin{gathered} 6\text{ }\times\frac{t}{3}\text{ + 6 }\times\text{ }\frac{t}{2}\text{ -350(6) = 270(6)} \\ \\ 2t\text{ + 3t-2100 = 1620} \\ \\ 5t\text{ = 1620 + 2100} \\ \\ 5t\text{ = 3720} \\ \\ t\text{ = }\frac{3720}{5} \\ \\ t\text{ = 744} \end{gathered}[/tex]