Question

At the movie theatre, child admission is $5.70 and adult admission is $9.75 . On Friday, 173 tickets were sold for a total sales of 1306.10 . How many child tickets were sold that day?

Answer 1

Answer: 94 child tickets

Step-by-step explanation:

Let x represent child tickets

Let y represent adult tickets

Cost Equation: 5.70x + 9.75y = 1306.10

Quantity Equation: x + y = 173

Solve the system of equations using the elimination method:

Multiply the Quantity Equation by -5.70

      5.70x + 9.75y = 1306.10

    -5.70x  - 5.70y = -986.10

                    4.05y = 320.00

                  ÷4.05   ÷4.05    

                           y =   79

x +  y  = 173

x + 79 = 173

x         = 94