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

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?

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Carol H. | Experienced Mathematics Tutor w/ Master's Degree in MathExperienced Mathematics Tutor w/ Master'...
4.9 4.9 (277 lesson ratings) (277)
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