Solving a value mixture problem using a linear equation

Question

At the movie theatre, child admission is
$5.20
and adult admission is
$8.50
. On Saturday, four times as many adult tickets as child tickets were sold, for a total sales of
$823.20
. How many child tickets were sold that day?

Answer 1

let child tickets =x

then adult tickets=4x

 

5.2*x+8.5*4x=823.2

 

so x=21