Let's assume
number of child tickets sold on saturday is x
number of adult tickets sold on saturday is y
On saturday, twice as many adult tickets as child tickets were sold
so, we get
[tex]y=2x[/tex]
child admission is $6.30 and adult admission is $9.60
a total sales of $535.50
we get
[tex]6.30x+9.60y=535.50[/tex]
now, we can plug y=2x
[tex]6.30x+9.60*2x=535.50[/tex]
now, we can solve for x
[tex]25.5x=535.5[/tex]
[tex]x=21[/tex]
now, we can find y
[tex]y=2*21[/tex]
[tex]y=42[/tex]
so,
number of child tickets sold on saturday is 21
number of adult tickets sold on saturday is 42.........Answer