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Emily's school is selling tickets to the annual talent show.

On the first day of ticket sales, the school sold 11 senior citizen tickets and 4 student tickets for a total of $133.

The school took in $182 on the second day by selling 10 senior citizen tickets and 8 student tickets.

Find the price of a senior citizen ticket and the price of a student ticket.

a) Senior citizen ticket: $9, Student ticket: $8
b) Senior citizen ticket: $8, Student ticket: $9
c) Senior citizen ticket: $11, Student ticket: $4
d) Senior citizen ticket: $4, Student ticket: $11

Answer :

Final answer:

The price of a senior citizen ticket is $7 and the price of a student ticket is $14, which is not in the given options.

Explanation:

To determine the price of senior citizen and student tickets, let's define the price of a senior citizen ticket as s and the price of a student ticket as t.

We are given two equations based on the ticket sales:

  • 11s + 4t = 133 (first day sales)
  • 10s + 8t = 182 (second day sales)

By multiplying the first equation by 2, we get:

  • 22s + 8t = 266

Now, we can subtract the second day's equation from this to eliminate t:

  • 22s + 8t - (10s + 8t) = 266 - 182
  • 12s = 84

Dividing both sides by 12, we get s = 7. To find t, substitute s into one of the original equations:

  • 11(7) + 4t = 133
  • 77 + 4t = 133
  • 4t = 56
  • t = 14

Learn more about Ticket Price Calculation here:

https://brainly.com/question/28883924

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