[tex]3:2=\dfrac{3}{2}\\\\\£27-Gavyn's\ win\\\£w-Alex's\ win\\\\\text{The equation}\\\\\dfrac{\£27}{\£w}=\dfrac{3}{2}\qquad\text{cross multiply}\\\\3\£w=(2)(\£27)\\\\3\£w=\£54\qquad\text{divide both sides by 3}\\\\\£w=\£18\\\\Total\ win:\ \boxed{\£27+\£18=\£45}[/tex]
