Question

The school that Julio goes to is selling tickets to choral performances. On the first day of ticket sales, the school sold three senior citizen tickets and of one child ticket for a total of $40. The school took in $52 on the second days by selling three senior tickets and two child tickets.Find the price of a child ticket

Answer 1

`\$12`

Step-by-step explanation

Let the price of one senior ticket be s.

Let the price of one child ticket be c.

Three senior tickets and one child ticket sold for $40. This implies that:

`3s+c=40`

Three senior tickets and two child tickets sold for $52. This implies that:

`3s+2c=52`

From the first equation, make 3s the subject of the formula:

`3s=40-c`

Substitute this into the second equation:

`40-c+2c=52`

Solve the equation for c by collecting like terms:

`\begin{gathered} 2c-c=52-40 \\ \Rightarrow c=\$12 \end{gathered}`

Therefore, a child ticket goes for $12.