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7.9: Hanging Scales Extras

Difficulty Level: At Grade Created by: CK-12
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Extras for Experts Hanging Scales - Solve for Unknowns

Solutions

\begin{align*}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\end{align*}

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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