At the city museum, child admission is $5.20 and adult admission is $8.50 . on friday, three times as many adult tickets as child tickets were sold, for a total sales of $1074.50 . how many child tickets were sold that day?

the image is given below

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this