Question

Aman and his three children spent $40 to attend a show. A secondfamily of three children and their two parents spent $53 for the sameShow How much does a child's ticket cost?

Answer 1

We know that

• Aman and his three children spent $40 in total.

,

• Two parents and three children spent $53.

Based on the given information, we can form the following equations.

`\begin{gathered} x+3y=40 \\ 2x+3y=53 \end{gathered}`

Where x is parents and y is children.

Let's multiply the first equation by -1.

`\begin{gathered} \mleft\{\begin{aligned}-x-3y=-40 \\ 2x+3y=53\end{aligned}\mright. \\ 2x-x+3y-3y=53-40 \\ x=13 \end{gathered}`

We use this value to find y.

`\begin{gathered} x+3y=40 \\ 13+3y=40 \\ 3y=40-13 \\ 3y=27 \\ y=(27)/(3) \\ y=9 \end{gathered}`

Therefore, a child's ticket costs $9.