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Answer :
Final answer:
The cost of a senior citizen ticket is $5, and a student ticket is $8. The solution is obtained by setting up a system of two equations representing the ticket sales for the two days.
Explanation:
The cost of the senior citizen and student tickets can be determined by setting up and solving a system of equations. Given that 8 senior citizen tickets and 2 student tickets were sold for a total of $56 on the first day, and 10 senior citizen and 2 student tickets sold for a total of $66 on the second day, the two equations would be:
8s + 2t = 56
and
10s + 2t = 66
Subtracting the first equation from the second gives 2s = 10, or s = 5.
Substituting s = 5 into the first equation gives: 8*5 + 2t = 56 which simplifies to 2t = 16, or t = 8.
Therefore, each senior citizen ticket costs $5, and each student ticket costs $8. Hence, option c) Senior citizen ticket: $5, student ticket: $8 is correct.
Learn more about System of Equations here:
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