The Simple Machine Company makes Widgets, Gadgets, and Gizmos out of pulleys, wedges, and levers. Each Widget requires 2 pulleys, 1 wedges, and 3 levers. Each Gadget requires 2 pulleys, 3 wedges, and 1 lever. Each Gizmo requires 1 pulley and 2 levers. If the company has 20 pulleys, 6 wedges, and 34 levers available, how many Widgets, Gadgets, and Gizmos can be made to use up all of the resources? Name the variables, set-up a system of equations, solve it, and give all possible realistic answers.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.CT: Chapter Test
Problem 10CT
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The Simple Machine Company makes Widgets, Gadgets, and Gizmos out of
pulleys, wedges, and levers. Each Widget requires 2 pulleys, 1 wedges, and 3
levers. Each Gadget requires 2 pulleys, 3 wedges, and 1 lever. Each Gizmo
requires 1 pulley and 2 levers. If the company has 20 pulleys, 6 wedges, and 34
levers available, how many Widgets, Gadgets, and Gizmos can be made to use
up all of the resources? Name the variables, set-up a system of equations, solve
it, and give all possible realistic answers.
Transcribed Image Text:The Simple Machine Company makes Widgets, Gadgets, and Gizmos out of pulleys, wedges, and levers. Each Widget requires 2 pulleys, 1 wedges, and 3 levers. Each Gadget requires 2 pulleys, 3 wedges, and 1 lever. Each Gizmo requires 1 pulley and 2 levers. If the company has 20 pulleys, 6 wedges, and 34 levers available, how many Widgets, Gadgets, and Gizmos can be made to use up all of the resources? Name the variables, set-up a system of equations, solve it, and give all possible realistic answers.
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