Question

The school that Julio goes to is selling tickets to a choral performance.On the first day of ticket sales the school sold three senior citizen tickets and one child ticket for a total of forty dollars.The school took in fifty-two dollars on the second day by selling three senior citizen tickets and two child tickets.find the price of a child ticket

Answer 1

Let x and y be the price of a senior ticket and a child ticket, respectively.

Thus, the two equations mentioned in the question are

`\begin{cases}3x+y=40 \\ 3x+2y=52\end{cases}`

Subtract both equations as shown below,

`\begin{gathered} (3x+2y)-(3x+y)=52-40 \\ \Rightarrow y=12 \end{gathered}`

Thus, the price of a child ticket is 12 dollars.