At the movie theatre, child admission is

$6.30 and adult admission is

$9.40. On Thursday,

133 tickets were sold for a total sales of

$1005.30. How many child tickets were sold that day?

Let the number of children be x.

Total tickets are 133. Adults will be (133 - x).

Cost from the children = 6.3*x = 6.3x

Cost from Adults = 9.4 * (133 - x) = 9.4*133 - 9.4*x = 1250.2 - 9.4x

Total = 6.3x + 1250.2 - 9.4x = 1005.3

6.3x + 1250.2 - 9.4x = 1005.3

6.3x - 9.4x = 1005.3 - 1250.2

-3.1x = - 244.9

x = - 244.9 / - 3.1

x = 79

79 child tickets were sold.