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Back to 11.8 Solving Systems with Cramer's Rule

11.8 Exercise 78

Avg difficulty 2.5

Create a system of linear equations to describe the behavior. Then, solve the system for all solutions using Cramer’s Rule.

A movie theatre sold tickets to three movies. The tickets to the first movie were $5, the tickets to the second movie were $11, and the third movie was $12. 100 tickets were sold to the first movie. The total number of tickets sold was 642, for a total revenue of $6,774. How many tickets for each movie were sold?

OpenStax Algebra and Trigonometry 2e, 11.8 Solving Systems with Cramer's Rule, exercise 78

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.