At the movie theatre, child admission is $6.20 and adult admission is $9.50. on monday, three times as many adult tickets as child tickets were sold, for a total sales of $1214.50. how many child tickets were sold that day?

C = 35 //number of child tickets sold that day

Step-by-step explanation:

Child admission ticket: $6.20

Adult admission ticket: $9.50

Total sales = $1214.50

The statement "Three times as many adult tickets as child tickets were sold:" is translated as:

Number of adults tickets = A

Number of child tickets = C

A = 3C

Sale of total tickets = $1214

9.5A + 6.20C = 1214

put NA = 3NC

3C(9.50) + 6.20C = 1214

28.5C + 6.20C = 1214

34.7C = 1214

C = 35 //number of child tickets sold that day