The audience of a movie theatre is 400 people consisting of adults, teens, and children. The ticket  prices are $40 for adults, $20 for teens, and $10 for children. The total amount of money taken in  is $10600. The number of children tickets sold is 200 less than the number of adult and teens  tickets in total.  Use Cramer’s rule to calculate the number of adults, teens and children that are in attendance. Include the following steps: A. Define each variable. B. Write each equation. C. Rewrite as systems in matrix form with the coefficient, variables, and constants matrices.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.1: Linear And Nonlinear Systems Of Equations
Problem 7ECP
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The audience of a movie theatre is 400 people consisting of adults, teens, and children. The ticket 
prices are $40 for adults, $20 for teens, and $10 for children. The total amount of money taken in 
is $10600. The number of children tickets sold is 200 less than the number of adult and teens 
tickets in total. 
Use Cramer’s rule to calculate the number of adults, teens and children that are in attendance.
Include the following steps:
A. Define each variable.
B. Write each equation.
C. Rewrite as systems in matrix form with the coefficient, variables, and constants matrices. 

D. Calculate each determinant. 


E. Solve for the number of adults, teens, and children.

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The audience of a movie theatre is 400 people consisting of adults, teens, and children. The ticket 
prices are $40 for adults, $20 for teens, and $10 for children. The total amount of money taken in 
is $10600. The number of children tickets sold is 200 less than the number of adult and teens 
tickets in total. 
Use Cramer’s rule to calculate the number of adults, teens and children that are in attendance.
Include the following steps:


D. Calculate each determinant. 


E. Solve for the number of adults, teens, and children

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