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.