[Solution] A total of 700 tickets were sold for a musical. Senior citizen tickets sold for $15, children tickets sold for $20, and adult tickets sold for


Question: A total of 700 tickets were sold for a musical. Senior citizen tickets sold for $15, children tickets sold for $20, and adult tickets sold for $25; the total earnings from ticket sales was $15,750. Five times more children tickets were sold than senior citizen tickets. How many tickets of each type were sold? Set up a system of three equations and three unknowns, use an augmented matrix to solve, and show all work to receive full credit.

  1. What are the three unknowns?
  2. Write a separate equation representing each of the first three sentences of the word problem.
  3. Determine the augmented matrix that represents the three equations.
  4. Solve for the matrix. Show all work to receive full credit.
  5. How many of each type of ticket were sold?

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Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document

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