Final answer:
To find out how many child tickets were sold, we can set up a system of equations using the given information. By solving the system, we find that 67 child tickets were sold that day.
Step-by-step explanation:
To find out how many child tickets were sold, we need to set up a system of equations. Let x be the number of child tickets sold and y be the number of adult tickets sold. We can set up the following two equations:
5.8x + 9.2y = 1259.2 (equation 1)
x + y = 162 (equation 2)
To solve this system of equations, we can use substitution or elimination. Let's use elimination by multiplying equation 2 by -5.8.
-5.8x - 5.8y = -936.4 (equation 3)
Adding equation 3 to equation 1, we get:
3.4y = 322.8
Dividing both sides of the equation by 3.4, we find y = 95.
Substituting y = 95 into equation 2, we can solve for x:
x + 95 = 162
x = 67.
Therefore, 67 child tickets were sold that day. So the correct answer is c) 66 child tickets were sold.