Question

the table shows ticket prices at the movie theater ticket salesto an afternoon show where $146 there were 10 children tickets sold write and solve an equation to find how many adult tickets were sold show your work and I

Answer 1

Let "x" represent the number of adult tickets sold

And "y" represent the number of child tickets sold

C is the total ticket sales.

The total profit can be calculated as to number of adult tickets multiplied by its unit price plus the number of child tickets multiplied by its unit price:

$C=12x+5y$

If in one afternoon the movie theter made C=$146 on ticket sales and we knoe that y=10 children tickets were sold, you can calculate the number of adults tickets by replacing the given values in the equation and solving it for x:

$\begin{gathered} 146=12x+5\cdot10 \\ 146=12x+50 \\ 12x=146-50 \\ 12x=96 \\ \frac{12x}{12}=\frac{96}{12} \\ x=8 \end{gathered}$

They sold 8 adult tickets on said afternoon.