High School

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

On the first day of ticket sales, the school sold 5 senior citizen tickets and 13 child tickets for a total of $146.

On the second day, the school took in $219 by selling 11 senior citizen tickets and 14 child tickets.

What is the price of one senior citizen ticket and one child ticket?

Answer :

The solution involves creating a system of equations based on the school's ticket sales over two days and solving it to determine the individual prices of senior citizen tickets and child tickets.

To determine the price of one senior citizen ticket and one child ticket using the given information, we can set up a system of equations based on the two days of ticket sales:

Let's define s as the price of a senior citizen ticket and c as the price of a child ticket.

From the first day:

  • 5s + 13c = $146

From the second day:

  • 11s + 14c = $219

Now we need to solve this system of equations. One way to do this is by using the substitution or elimination method. For instance, we can multiply the first equation by two to help eliminate one variable when we subtract the second equation from this new equation.

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