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16. Tickets at an amusement park cost $27 for children and $36 for adults. 2,400 tickets were sold, totaling $74,340 in receipts. Suppose you want to find out how many of each type of ticket were sold. Let x = number of children's tickets sold and y = number of adult tickets sold. (a) Write a system of two equations involving variables x and y, corresponding to the information given about the tickets. Equation: Equation: (b) Find the solution of your system of equations from part (a). Solution: (c) Interpret the solution in a sentence, in terms of ticket sales at the amusement park. Sentence:

16. Tickets at an amusement park cost $27 for children and $36 for adults. 2,400 tickets were sold, totaling $74,340 in receipts. Suppose you want to find out how many of each type of ticket were sold. Let x = number of children's tickets sold and y = number of adult tickets sold. (a) Write a system of two equations involving variables x and y, corresponding to the information given about the tickets. Equation: Equation: (b) Find the solution of your system of equations from part (a). Solution: (c) Interpret the solution in a sentence, in terms of ticket sales at the amusement park. Sentence:

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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### Problem Statement **16. Ticket Pricing Problem:** Tickets at an amusement park cost $27 for children and $36 for adults. A total of 2,400 tickets were sold, amounting to $74,340 in receipts. Suppose you want to determine how many of each type of ticket were sold. - Let \( x \) = number of children's tickets sold - Let \( y \) = number of adult tickets sold **Task (a):** Write a system of two equations involving variables \( x \) and \( y \), based on the given information about the tickets. - **Equation:** _________________________ - **Equation:** _________________________ **Task (b):** Find the solution of your system of equations from Task (a). - **Solution:** ____________________ **Task (c):** Interpret the solution in a sentence, concerning ticket sales at the amusement park. - **Sentence:** ______________________________________________________ ____________________________________________________________________________________ ### Instructions for Educators - Encourage students to set up the equations using the information provided about ticket prices and total sales. - Assist students in using methods such as substitution or elimination to solve the system of equations. - Guide them in interpreting the solution by relating it back to the context of the problem.
Transcribed Image Text:### Problem Statement **16. Ticket Pricing Problem:** Tickets at an amusement park cost $27 for children and $36 for adults. A total of 2,400 tickets were sold, amounting to $74,340 in receipts. Suppose you want to determine how many of each type of ticket were sold. - Let \( x \) = number of children's tickets sold - Let \( y \) = number of adult tickets sold **Task (a):** Write a system of two equations involving variables \( x \) and \( y \), based on the given information about the tickets. - **Equation:** _________________________ - **Equation:** _________________________ **Task (b):** Find the solution of your system of equations from Task (a). - **Solution:** ____________________ **Task (c):** Interpret the solution in a sentence, concerning ticket sales at the amusement park. - **Sentence:** ______________________________________________________ ____________________________________________________________________________________ ### Instructions for Educators - Encourage students to set up the equations using the information provided about ticket prices and total sales. - Assist students in using methods such as substitution or elimination to solve the system of equations. - Guide them in interpreting the solution by relating it back to the context of the problem.
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