Question

Please help explanation if possible

Answer 1

612 adults

361 students

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:

`x+y=937`

`x=937-y` ...... ( 1 )

As the total sale amount is $1109, the equation would be to add up the ticket fee:

`2x+0.75y=1,109` ...... ( 2 )

Put ( 1 ) into ( 2 ):

`2(937-y)+0.75y=1,109`

`1874-2y+0.75y=1,109`

`-1.25y=-765`

`y=763/1.25`

`y=612`

Put y into ( 1 ):

`x=973-612`

`x=361`

Therefore there are 612 adults and 361 students.