The Creekside Theater is putting on a p lay. The Hanson family bought five adult tickets
and two child ticke ts for $129.00. The Rivera family bought two adult tickets and six child tickets for $107.50.
Write a system of equations to represent this situation
5a + 2c = 129.00
2a + 6c = 107.50
Let's define some variables to represent the unknowns in this problem.
Let's say the cost of an adult ticket is 'a' dollars, and the cost of a child ticket is 'c' dollars.
Now, let's use this information to create our system of equations:
Equation 1: The Hanson family bought five adult tickets and two child tickets for $129.00.
Therefore, the total cost for the Hansons can be represented as:
5a + 2c = 129.00
Equation 2: The Rivera family bought two adult tickets and six child tickets for $107.50.
Therefore, the total cost for the Riveras can be represented as:
2a + 6c = 107.50
These two equations form our system of equations that represents the given situation:
5a + 2c = 129.00
2a + 6c = 107.50
By solving this system of equations, we can determine the values of 'a' and 'c' which represent the cost of an adult ticket and a child ticket, respectively.