Phil is making cookies for a bake sale. The recipe calls for $\displaystyle{1}\frac{{7}}{{8}}\usepackage{cmbright}\Huge\$ cups of sugar. If Phil decides to make $\displaystyle{2}\frac{{1}}{{2}}\usepackage{cmbright}\Huge\$ times the original recipe, how many cups of sugar should he use? Express the answer as a mixed number.