For Exercise, set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Danielle stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 14 nights. She spent twice as many nights in Dallas as she did in Washington. The total cost for 14 nights (excluding tax) was $2200. Determine the number of nights that she spent in each city. Cost per Night City Washington Atlanta $200 $100 Dallas $150

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
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Chapter4: Systems Of Linear Equations
Section4.3: Solve Mixture Applications With Systems Of Equations
Problem 4.51TI: Translate to a system of equations and solve: Greta wants to make 5 pounds of a nut mix using...
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For Exercise, set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination
or Gauss-Jordan elimination.
Danielle stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 14 nights. She
spent twice as many nights in Dallas as she did in Washington. The total cost for 14 nights (excluding tax) was $2200.
Determine the number of nights that she spent in each city.
Cost per Night
City
Washington
Atlanta
$200
$100
Dallas
$150
Transcribed Image Text:For Exercise, set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Danielle stayed in three different cities (Washington, D.C., Atlanta, Georgia, and Dallas, Texas) for a total of 14 nights. She spent twice as many nights in Dallas as she did in Washington. The total cost for 14 nights (excluding tax) was $2200. Determine the number of nights that she spent in each city. Cost per Night City Washington Atlanta $200 $100 Dallas $150
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