Question 491436
If students and ticket and non-students ticket are {{{x}}} and {{{y}}},

and {{{821}}} tickets were sold, we have

{{{x+y=821}}}..........1 


for a total of ${{{1933}}}, students paid $2 per ticket and non-students paid $3 per ticket

{{{2x+3y=1933}}}..........2
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{{{x+y=821}}}..........1 ...solve for {{{x}}}

{{{x=821-y}}}....plug it in 2



{{{2x+3y=1933}}}..........2

{{{2(821-y)+3y=1933}}}..solve for {{{y}}}

{{{1642-2y+3y=1933}}}

{{{y=1933-1642}}}

{{{highlight(y=291)}}}........{{{291}}} non-student tickets were sold

{{{x=821-y}}}

{{{x=821-291}}}

{{{x=highlight(530)}}}.........{{{530}}} student tickets were sold


{{{530*2=1060}}}........total cost of student tickets

{{{291*3=873}}}........total cost of non-student tickets