Question

music band came to town. The amphitheater filled all 50,000 seats at two-level pricing. Level 1 tickets are $150 each, and level 2 tickets are $250 each. The amphitheater made $125,000 in ticket sales. The system of equations that models this scenario is: x + y = 50,000 150x + 250y = 125,000 What do the x and y represent in the system?

Answer 1

The x represents the amount of Level 1 tickets sold, the y represents the amount of level 2 tickets sold.

Answer 2

Answer: x represents the number of level 1 tickets and y represents the number of level 2 tickets in the amphitheater.

Step-by-step explanation:

Given :  The amphitheater filled all 50,000 seats at two-level pricing.

Level 1 tickets are $150 each, and level 2 tickets are $250 each.

The amphitheater made $125,000 in ticket sales.

The system of equations that models this scenario is:

$x + y = 50,000 \\\\150x + 250y = 125,000$

When we match the given equation to the situation, we find that x represents the number of level 1 tickets and y represents the number of level 2 tickets in the amphitheater.

[Since coefficient of x in second equation is 150 which is the cost of level 1 ticket , similarly for y]