Answer :
Final answer:
To find the price of one senior citizen ticket and one child ticket, we can set up a system of equations using the information provided. However, upon solving the system, we encounter a negative ticket price, indicating an error in the given information or calculations.
Explanation:
To find the price of one senior citizen ticket and one child ticket, we can set up a system of equations based on the information given.
Let's assume the price of one senior citizen ticket is x dollars and the price of one child ticket is y dollars.
Based on the first day of ticket sales, we can write the equation:
5x + 10y = 110
Based on the second day of ticket sales, we can write the equation:
10x + 3y = 101
Now, we can solve this system of equations to find the values of x and y.
Multiplying the first equation by 3 and the second equation by 10, we can eliminate y by subtracting the two equations:
15x + 30y = 330
10x + 3y = 101
Subtracting the two equations gives us:
5x = 229
Dividing both sides of the equation by 5, we get:
x = 45.8
Substituting the value of x back into either of the original equations, we can solve for y:
5(45.8) + 10y = 110
229 + 10y = 110
10y = -119
y = -11.9
Since we cannot have a negative ticket price, there must be an error in the given information or calculations.
Therefore, the solution to this problem is not possible with the given information.
