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You are reading an older version of this FlexBook® textbook: Algebra Explorations, Pre-K through Grade 7 Go to the latest version.

7.9: Hanging Scales Extras

Difficulty Level: At Grade Created by: CK-12

Extras for Experts Hanging Scales - Solve for Unknowns

Solutions

1. \quad A: x + z + z = 24; \ B: x + x + z  + z = 30; \ C: x + y + z = 20\!\\\!\\{\;} \quad \ x = 6, \ y = 5, \ z = 9\!\\\!\\2. \quad D: y + y + z = 21; \  E: y + y + z + z = 26; \ F: x + x + y + z = 27\!\\\!\\{\;} \quad \ x = 7, \ y = 8, \ z = 5\!\\\!\\3. \quad G: x + y + z = 20; \ H: x + y + y + z = 29; \ I: y + y + z + z = 24\!\\\!\\{\;} \quad \ x = 8, \ y = 9, \ z = 3\!\\\!\\4. \quad A: x + x + z = 15; \ B: x + y + z = 17; \ C: x + y + z + z = 24\!\\\!\\{\;} \quad \ x = 4, \ y = 6, \ z = 7\!\\\!\\5. \quad D: x + y + z = 22;  \ E: x + x + y + z = 30; \ F: x + x + z + z = 34\!\\\!\\{\;} \quad \ x = 8, \ y = 5, \ z = 9\!\\\!\\6. \quad G: y + z + z = 18; \ H: x + x + y + y = 28; \  I: x + y + y = 22\!\\\!\\{\;} \quad \ x = 6, \  y = 8, \  z = 5

Write equations. Figure out the weights of the blocks.

Write equations. Figure out the weights of the blocks.

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CK.MAT.ENG.SE.1.Algebra-Explorations-K-7.7.9

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