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# 7.9: Hanging Scales Extras

Difficulty Level: At Grade Created by: CK-12

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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Date Created:
Feb 23, 2012
The text contains multiple mathematical questions in the form of systems of equations, each followed by a solution. Each system of equations involves finding the values of variables x, y, and z.
multiple_questions_with_answers
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
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# 7.9: Hanging Scales Extras

Difficulty Level: At Grade Created by: CK-12

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.

### Notes/Highlights Having trouble? Report an issue.

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Description
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Date Created:
Feb 23, 2012
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The text contains multiple mathematical questions in the form of systems of equations, each followed by a solution. Each system of equations involves finding the values of variables x, y, and z.

TYPE: MULTIPLE_QUESTIONS_WITH_ANSWERS