Answer:
612 adults
361 students
Step-by-step explanation:
To solve this question, set two equations:
Let x be number of adults and y be number of students.
As there are in total 937 people, the equation would be the sum of both adults and children:
[tex]x+y=937[/tex]
[tex]x=937-y[/tex] ...... ( 1 )
As the total sale amount is $1109, the equation would be to add up the ticket fee:
[tex]2x+0.75y=1,109[/tex] ...... ( 2 )
Put ( 1 ) into ( 2 ):
[tex]2(937-y)+0.75y=1,109[/tex]
[tex]1874-2y+0.75y=1,109[/tex]
[tex]-1.25y=-765[/tex]
[tex]y=763/1.25[/tex]
[tex]y=612[/tex]
Put y into ( 1 ):
[tex]x=973-612[/tex]
[tex]x=361[/tex]
Therefore there are 612 adults and 361 students.
