At the Movie Theatre, Child Admission is $5.20 and Adult Admission is $9.90. On Saturday, 149 tickets were sold for a total sales of $1,075.60. How many Child tickets were sold that day?

To solve this problem, you can set up a system of equations based on the information given. Let's call the number of adult tickets A, and the number of child tickets C. You know that: 1) A + C = 149 (the total number of tickets sold) 2) 9.9A + 5.2C = 1075.6 (the total sales) You can now solve this system of equations. One method is substitution or elimination. I'm going to use substitution in this instance: First, let's solve the first equation for A: A = 149 - C Now, substitute "149 - C" for "A" in the second equation: 9.9(149 - C) + 5.2C = 1075.6 Expand: 1475.1 - 9.9C + 5.2C = 1075.6 Combine like terms: 1475.1 - 4.7C = 1075.6 Subtract 1475.1 from both sides: -4.7C = -399.5 Divide by -4.7 to solve for C: C = 85 So, 85 child tickets were sold that day.