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.
[tex]\begin{gathered} x+3y=40 \\ 2x+3y=53 \end{gathered}[/tex]Where x is parents and y is children.
Let's multiply the first equation by -1.
[tex]\begin{gathered} \mleft\{\begin{aligned}-x-3y=-40 \\ 2x+3y=53\end{aligned}\mright. \\ 2x-x+3y-3y=53-40 \\ x=13 \end{gathered}[/tex]We use this value to find y.
[tex]\begin{gathered} x+3y=40 \\ 13+3y=40 \\ 3y=40-13 \\ 3y=27 \\ y=\frac{27}{3} \\ y=9 \end{gathered}[/tex]