解??$:(1)$??設(shè)一共去了??$x$??個(gè)成人和??$y$??名學(xué)生
根據(jù)題意??$,$??得??$\begin {cases}{ x+y=11 } \\{40x+\frac {1}{2}×40y=360} \end {cases}$??
解得??$x=7,y= 4.$??
??$(2)$??按??$14$??人購(gòu)買團(tuán)體票??$,$??需??$14×40×60\%=336($??元??$),$??
??$360-336=24($??元??$).$??
購(gòu)買團(tuán)體票省??$ 24$??元??$.$??