Question

I need help with my math

Answer 1

we have

x = adult tickets

y = children tickets

and the equations

x + y = 60

11x + 6y = 460

then solve the system:

$\begin{gathered} x+y=60 \\ x+y-y=60-y \\ x=60-y \\ \text{then} \\ 11(60-y)+6y=460 \\ 660-11y+6y=460 \\ 660-5y=460 \\ 660-5y-660=460-660 \\ -5y=-200 \\ -\frac{5y}{-5}=-\frac{200}{-5} \\ y=40 \end{gathered}$

and for x

$x=60-40=20$

answer: 20 adult tickets and 40 children tickets