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Answer :
Final answer:
To find the price of a senior citizen ticket, set up a system of equations using the given information and solve it. The price of a senior citizen ticket is $7.
Explanation:
To find the price of a senior citizen ticket, we need to set up a system of Algebraic equations using the given information. Let's denote the price of a senior citizen ticket as 'x' and the price of a student ticket as 'y'. From the first day, we have the equation 4x + 2y = 58. From the second day, we have the equation 8x + 10y = 206. We can solve this system of equations using substitution or elimination to find the value of 'x', which represents the price of a senior citizen ticket.
Let's start by multiplying the first equation by 5 to eliminate the 'y' term. This gives us 20x + 10y = 290. Now, we can subtract the second equation from this new equation to eliminate the 'y' term again. This leaves us with 12x = 84. Divide both sides by 12 to solve for 'x', and we get x = 7.
Therefore, the price of a senior citizen ticket is $7.
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