Ask Question
16 May, 02:11

Set up a system of equations for the following scenario. Then solve for the system. Three students buy different combinations of tickets for a baseball game. The first student buys 2 senior, 1 adult, and 2 student tickets for $51. The second student buys 1 adult and 5 student tickets for $55. The third student buys 2 senior, 2 adult, and 7 student tickets for $75. Set up a system of equations to find the price of each ticket.

+3
Answers (1)
  1. 16 May, 02:21
    0
    Let

    x = cost of a ticket for a senior

    y = cost of a ticket for an adult

    z = cost of a ticket for a student.

    The first student buys 2 senior, 1 adult, and 2 student tickets for $51.

    Therefore

    2x + y + 2z = 51 (1)

    Th second student buys 1 adult and 5 student tickets for $5.

    Therefore

    y + 5z = 55 (2)

    The third student buys 2 senior, 2 adult, and 7 student tickets for $75.

    Therefore

    2x + 2y + 7z = 75 (3)

    Answer:

    The system of equation for determining x, y, and z is

    2x + y + 2z = 51

    y + 5z = 55

    2x + 2y + 7z = 75

    Warnng: The system of equations does not have a solution.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Set up a system of equations for the following scenario. Then solve for the system. Three students buy different combinations of tickets ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers