\begin{tabular}{l} 3. A group of adults plus one child attend a movie at \\ Cineplex 15 . Tickets cost \( \$ 9 \) for adults and \( \$ 6 \) for \\ children. The total cost for the movie is \( \$ 78 \). Write an \\ equation to find the number of adults in the group. \\ Variable: \\ Coefficient: \\ Constants: \\ \hline Equation: \end{tabular}

To tackle this movie ticket problem, let’s define our variables. Let \( x \) represent the number of adults. Since there’s one child attending, the total ticket cost can be expressed with the equation: \( 9x + 6 = 78 \). The variable we’re finding is \( x \) (the number of adults). The coefficients in the equation are \( 9 \) (cost per adult) and \( 6 \) (cost per child). The constant in this equation is \( 78 \) (total cost). So the final equation is: \[ 9x + 6 = 78 \]