Final answer:
To solve this problem, set up a system of equations based on the given information. Solve the system using the elimination method, and find that 92 adult tickets were sold that day.
Step-by-step explanation:
To solve this problem, we can use a system of equations. Let's assume the number of child tickets sold is x and the number of adult tickets sold is y. From the given information, we can set up two equations:
Equation 1: x + y = 142 (the total number of tickets sold)
Equation 2: 5.60x + 9.70y = 1004.30 (the total sales from the tickets)
To solve this system of equations, you can use the substitution or elimination method. I will use the elimination method to solve:
Multiplying Equation 1 by 5.60, we get: 5.60x + 5.60y = 796
Subtracting this equation from Equation 2, we get: 9.70y - 5.60y = 1004.30 - 796
Simplifying the equation, we have: 4.10y = 208.30
Dividing both sides by 4.10, we get: y = 50
Now, substitute the value of y into Equation 1:
x + 50 = 142
Subtracting 50 from both sides, we get: x = 92
Therefore, 92 adult tickets were sold that day.