Question

System by applications i belive the answer is A can you check?

Answer 1

Let's use the variable x to represent the cost of a senior ticket and y to represent the cost of a child ticket.

If the cost of 1 senior ticket and 1 child ticket is $18, we have:

`x+y=18`

If 2 senior tickets and 1 child tickets cost $27, we have:

`2x+y=27`

Subtracting the first equation from the second one, we can solve the result for x:

`\begin{gathered} 2x+y-(x+y)=27-18 \\ 2x+y-x-y=9 \\ x=9 \end{gathered}`

Now, solving for y:

`\begin{gathered} x+y=18 \\ 9+y=18 \\ y=18-9 \\ y=9 \end{gathered}`

Therefore the cost of one senior ticket is $9 and the cost of one child ticket is $9.

Correct option: D.