The Hillsville Little Theater is currently presenting a new stage production of the animated feature Hoodwinked. At the opening, 70 tickets were sold and ticket sales totaled $672. If adult tickets cost $12 and children's tickets cost $8, how many of each type of ticket were sold?
A) 28 adult tickets; 42 child tickets
B) 26 adult tickets; 44 child tickets
C) 27 adult tickets; 43 child tickets
D) 25 adult tickets; 45 child tickets

Question

Quizplus · Accepted Answer

Let the number of adult tickets be $x$ and the number of child tickets be $y$. We have two equations based on the given information: $x + y = 70$ (total tickets sold) and $12x + 8y = 672$ (total sales). Solving these equations simultaneously, we find that $x = 28$ and $y = 42$, which corresponds to option A: 28 adult tickets and 42 child tickets.

The Hillsville Little Theater Is Currently Presenting a New Stage