Question \( 2 / 10 \) 2 The equations \( 5 x+2 y=48 \) and \( 3 x+2 y=32 \) represent the money collected from school concert tickets sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost of each adult ticket? Answer: \( \$ \) ? Thext

To find the cost of each adult ticket, let's solve the system of equations. Start with: 1. \( 5x + 2y = 48 \) 2. \( 3x + 2y = 32 \) Subtract the second equation from the first to eliminate \( y \): \[ (5x + 2y) - (3x + 2y) = 48 - 32 \] \[ 2x = 16 \Rightarrow x = 8 \] So, the cost of each adult ticket is \( \$8 \). Now, if you want to know how ticket pricing affects sales, consider that pricing strategy is crucial in maximizing revenue. If adult tickets are seen as high value, fewer sales might be expected, but at a higher price point. Conversely, lower ticket prices can encourage bulk sales and a crowd! Understanding audience demographics can lead to better pricing strategies as well. Did you know the history of ticket sales dates back to ancient civilizations? Romans used tickets for their games, and their influence on modern entertainment is still felt! The evolution of pricing from that era to today’s dynamic pricing models shows a fascinating journey.