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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.

9.7: Hanging Scales Extra for Experts

Difficulty Level: At Grade Created by: CK-12

Extra for Experts Hanging Scales – Solve for Unknowns

Solutions

1. \ A: x + z + z = 19; \ B: x + y + z + z = 28; \ C: w + x + z + z = 25; \ D: w + y + w + y = 10\!\\{\;} \quad w = 6 \ pounds, \ x = 5 \ pounds, \ y = 9 \ pounds, \ z = 7 \ pounds\!\\2. \ A: w + x + y = 19; \ B: w + x + z = 22; \ C: w + x + y + y = 26; \ D: w + z + w + z = 36:\!\\{\;} \quad w = 8 \ pounds, \ x = 4 \ pounds, \ y = 7 \ pounds, \ z = 10 \ pounds\!\\3. \ A: x + y + y = 29; \ B: x + x + y + y = 36; \ C: w + x + y + y = 38; \ D: w + z + z = 25:\!\\{\;} \quad w = 9 \ pounds, \ x = 7 \ pounds, \ y = 11 \ pounds, \ z = 8 \ pounds

Write equations. Figure out the weights of the blocks. Same blocks weigh the same.

1.

w = ? \ pounds, x = \underline{?} \ pounds, y = \underline{?} \ pounds, z = \underline{?} \ pounds

2.

w = ? \ pounds, x = \underline{?} \ pounds, y = \underline{?} \ pounds, z = \underline{?} \ pounds

3.

w = ? \ pounds, x = \underline{?} \ pounds, y = \underline{?} \ pounds, z = \underline{?} \ pounds

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CK.MAT.ENG.SE.1.Algebra-Explorations-K-7.9.7

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