Final answer:
To find the price of an adult ticket and the price of a child ticket, we can set up a system of equations based on the given information and solve it using the method of elimination.
Step-by-step explanation:
To find the price of an adult ticket and the price of a child ticket, we can set up a system of equations based on the given information. Let's assume the price of an adult ticket is 'a' and the price of a child ticket is 'c'.
From the first day of ticket sales, we can write the equation: 8a + 14c = 94. From the second day of ticket sales, we can write the equation: 3a + 8c = 49.
To solve this system of equations, we can use the method of substitution or elimination. Solving it using the method of elimination, we can multiply the first equation by 3 and the second equation by 8 to eliminate the 'a' variable. The resulting equation is: 24a + 42c = 282. Subtracting this equation from the second equation, we get: -12c = -97.
Finally, we can solve for 'c' and substitute its value back into one of the original equations to find the value of 'a'.
Therefore, the price of an adult ticket is $9 and the price of a child ticket is $5.