At the movie theatre child admission is 530 and adult admiss

At the movie theatre, child admission is

$5.30

and adult admission is

$8.70

. On Monday, four times as many adult tickets as child tickets were sold, for a total sales of

$882.20

. How many child tickets were sold that day?

Given cost of child admission = $5.30

and cost of adult admission = $8.70

Let the child tickets are x and adult tickets are y

On Monday, four times as many adult tickets as child tickets were sold.

i.e., y = 4*x = 4x

Total sales = $882.20

Need to find the child tickets sold on Monday.

Total sales = 5.30x + 8.70y

Total sales = $882.20

So, 5.30x + 8.70y = $882.20

5.30x + 8.70*(4x) = 882.20

5.30x + 34.8x = 882.20

40.1x = 882.20

x = 882.20/40.1

x = 22

Therefore, 22 child tickets were sold on Monday.