Textbook Problem

RECALL For the hypothetical reaction

$\text{3A}+\text{2B}\to \text{2C}+\text{3D}$

the rate was experimentally determined to be

$\text{Rate}=k{\left[A\right]}^1{\left[B\right]}^1$

What is the order of the reaction with respect to A? With respect to B? What is the overall order of the reaction? Suggest how many molecules each of A and B are likely to be involved in the detailed mechanism of the reaction.