At the movie theatre, child admission is $6.30 and adult admission is $9.60 . On saturday, twice as many adult tickets as child tickets were sold, for a total sales of $535.50 . How many child tickets were sold that day?

Respuesta :

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