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A residential building is to be constructed where each floor has one of three possible floor plans A, B, or C. Alternative A has 2 three-room, 3 two-room, and 9 one-room apartments. Alternative B has 6 three-room, 6 two-room, and no one-room apartments. Alternative C has 4 three-room, 3 two-room, and 7 one-room apartments. Let x1, x2, and x3 be the number of floors with respectively the floor plans A, B, and C.   Is it possible to have exactly 34 three-room, 33-two-room-, and 55-one-room apartments as a solution?

A residential building is to be constructed where each floor has one of three possible floor plans A, B, or C. Alternative A has 2 three-room, 3 two-room, and 9 one-room apartments. Alternative B has 6 three-room, 6 two-room, and no one-room apartments. Alternative C has 4 three-room, 3 two-room, and 7 one-room apartments. Let x1, x2, and x3 be the number of floors with respectively the floor plans A, B, and C.   Is it possible to have exactly 34 three-room, 33-two-room-, and 55-one-room apartments as a solution?

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.6: Problem Solving: Using Charts
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A residential building is to be constructed where each floor has one of three possible floor plans A, B, or C. Alternative A has 2 three-room, 3 two-room, and 9 one-room apartments. Alternative B has 6 three-room, 6 two-room, and no one-room apartments. Alternative C has 4 three-room, 3 two-room, and 7 one-room apartments. Let x1, x2, and x3 be the number of floors with respectively the floor plans A, B, and C.

 

Is it possible to have exactly 34 three-room, 33-two-room-, and 55-one-room apartments as a solution?

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