At the movie theatre, child admission is $5.40 and adult admission is $9.20. on thursday, twice as many adult tickets as child tickets were sold, for a total sales of $785.40. how many child tickets were sold that day

33 child tickets were sold that day.

adult tickets = a

child tickets = c

9.2a + 5.4c = 785.4

a = 2c

Substitute a into the first equation

9.2 (2c) + 5.4c = 785.4

Simplify

18.4c + 5.4c = 785.4

Combine like terms by adding

23.8c = 785.4

Divide both sides by 23.8 to isolate the variable c

c = 33