At the movie theatre, child admission is $5.90

and adult admission is $9.60

. On Saturday, 170

tickets were sold for a total sales of $1269.40

. How many adult tickets were sold that day?

Let the number of children be c, and the number of adults be a.

c + a = 170 (total number of tickets)

Then the cost of each is: $5.90/child, $9.60/adult:

5.9c + 9.6a = 1269.40 (total sales)

Solving as 2 simultaneous equations, we first transform the first equation:

a = 170 - c

Substitute into the 2nd equation:

5.9c + 9.6 (170 - c) = 1269.40

Solving gives c = 98, and a = 170 - 98 = 72. This means that 72 adult tickets were sold that day.