For Exercise, set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Three pumps (A, B, and C) work to drain water from a retention pond. Working together the pumps can pump 1500 gal/hr of water. Pump C works at a rate of 100 gal/hr faster than pump B. In 3 hr, pump C can pump as much water as pumps A and B working together in 2 hr. Find the rate at which each pump works.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.7: Solving Systems Of Linear And Quadratic Equations
Problem 30HP
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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. Three pumps (A, B, and C) work to drain water from a retention pond. Working together the pumps can pump 1500 gal/hr of water. Pump C works at a rate of 100 gal/hr faster than pump B. In 3 hr, pump C can pump as much water as pumps A and B working together in 2 hr. Find the rate at which each pump works.

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