How to Write a Systems of Equations with Step by Step Solution

Question

Provide a step by step solution and explain what the numbers in your solution mean in the context of the question you chose.

 

 

Question:

 

48,000 fans are in attendance at the Diamondbacks baseball game. A special promotion made tickets either $10.50 for an upper deck seat or $15.50 for a lower deck seat. The total amount of money earned from the ticket sales was $556,800. How many of each ticket is sold?

Answer 1

Let x = the number of upper deck seats sold

Let y = the number of lower deck seats sold

x + y = 48,000      y = 48,000 - x

10.50x + 15.50y = 556,800

10.50x + 15.50(48,000 - x) = 556,800

10.50x + 744,000 - 15.50x = 556,800

-5x = -187,200

x = 37,440

y = 48,000 - x = 48,000 - 37,440

y = 10,560