Gauss-Jordan Elimination Method w/Matrices

HI All,
I need help solving this Gauss-jordan elimation word problem:
I need to define the variables; if necessary or applicable, organize the information given into a chart, and setup a system of equations. Then solve using Gauss-Jordan method.

A minor league baseball park has 7000 seats. Box seats cost$6,grandstand seats cost $4,and bleacher seats cost $2. When all seats are sold, the total revenue is $26,400. If the number of box seats is one-third the number of bleacher seats,how many seats of each type are there?

Thanks for your help
Freedom 100

Quote:

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Originally Posted by freedom100

HI All,
I need help solving this Gauss-jordan elimation word problem:
I need to define the variables; if necessary or applicable, organize the information given into a chart, and setup a system of equations. Then solve using Gauss-Jordan method.

A minor league baseball park has 7000 seats. Box seats cost$6,grandstand seats cost $4,and bleacher seats cost $2. When all seats are sold, the total revenue is $26,400. If the number of box seats is one-third the number of bleacher seats,how many seats of each type are there?

Thanks for your help
Freedom 100

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Introduce variables

x - the number of box seats
y - the number of grandstand seats
z - the number of bleacher seats

Use these variables and what you are told to formulate three equations.

The solve using the method you have been shown.

CB

From
Freedom100