To solve the exercise you can use the rule of three, like this
[tex]\begin{gathered} 1\text{ cubic yard}\rightarrow27\text{ cubic feet} \\ x\text{ cubic yards}\rightarrow390\text{ cubic feet} \end{gathered}[/tex][tex]\begin{gathered} x=\frac{390\text{ cubic feet}\ast1\text{ cubic yard}}{27\text{ cubic feet}} \\ x=14.4\text{ cubic yards} \end{gathered}[/tex]Therefore, the air conditioning system can circulate about 14.4 cubic yards of air per minute.