Final answer:
To calculate the price of one adult ticket, we set up a system of equations with variables A for the adult ticket price and C for the child's ticket price. The two equations are 2A + 3C = 44 and A + 4C = 39.50. We can solve the system using methods such as substitution or elimination.
Step-by-step explanation:
To determine the price of one adult ticket, we can use a system of equations based on the given information. Let A represent the cost of an adult ticket and C represents the cost of a child's ticket. We are given two scenarios: 2 adult tickets and 3 children's tickets cost $44. This can be represented by the equation: 2A + 3C = 44. 1 adult ticket and 4 children's tickets cost $39.50. This equation would be A + 4C = 39.50. Now we have a system of equations: 2A + 3C = 44, A + 4C = 39.50. To solve for A and C, we can use methods such as substitution, elimination, or graphing. These methods will help us find the individual prices of an adult ticket and a child's ticket. Once we know the value of A and C, we can answer questions regarding tickets pricing and quantity.