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: 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