document.write( "Question 6576: Kyle weighs twice as much as his younger sister Suzanne and 10 pounds less than his older sister Margaret. All together they weigh 90 pounds. How much does Margaret Weigh. \n" ); document.write( "
Algebra.Com's Answer #3577 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
Suzanne's weight is 1/2 of Kyle's. Margaret's weight is Kyle's plus 10.\r
\n" ); document.write( "\n" ); document.write( "\"Suzanne+%2B+Kyle+%2B+Margaret+=+Kyle%2F2+%2B+Kyle+%2B+%28Kyle%2B10%29\"\r
\n" ); document.write( "\n" ); document.write( "All together they weigh 90 lbs:\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: Kyle=32.
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  • Graphical form: Equation \"Kyle%2F2%2BKyle%2B%28Kyle%2B10%29=90\" was fully solved.
  • Text form: Kyle/2+Kyle+(Kyle+10)=90 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+Kyle%2F2%2BKyle%2B%28Kyle%2B10%29=90+%29\"
    For tutors: simplify_cartoon( Kyle/2+Kyle+(Kyle+10)=90 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"Kyle%2F2%2BKyle%2Bhighlight_red%28+%28Kyle%2B10%29+%29=90\".
Remove unneeded parentheses around terms \"highlight_red%28+Kyle+%29\",\"highlight_red%28+10+%29\"
It becomes \"Kyle%2F2%2BKyle%2Bhighlight_green%28+Kyle+%29%2Bhighlight_green%28+10+%29=90\".
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Look at .
Eliminated similar terms \"highlight_red%28+Kyle%2F2+%29\",\"highlight_red%28+Kyle+%29\",\"highlight_red%28+Kyle+%29\" replacing them with \"highlight_green%28+%281%2F2%2B1%2B1%29%2AKyle+%29\"
It becomes \"highlight_green%28+%281%2F2%2B1%2B1%29%2AKyle+%29%2B10=90\".
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Look at .
Added fractions or integers together
It becomes \"%28highlight_green%28+5%2F2+%29%29%2AKyle%2B10=90\".
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Look at \"highlight_red%28+%28highlight_red%28+5%2F2+%29%29%2AKyle+%29%2B10=90\".
Remove unneeded parentheses around factor \"highlight_red%28+5+%29\",\"highlight_red%28+1%2F2+%29\"
It becomes \"highlight_green%28+5+%29%2Fhighlight_green%28+2+%29%2AKyle%2B10=90\".
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Look at \"5%2F2%2AKyle%2B10=highlight_red%28+90+%29\".
Moved these terms to the left \"highlight_green%28+-90+%29\"
It becomes \"5%2F2%2AKyle%2B10-highlight_green%28+90+%29=0\".
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Look at \"5%2F2%2AKyle%2Bhighlight_red%28+10+%29-highlight_red%28+90+%29=0\".
Added fractions or integers together
It becomes \"5%2F2%2AKyle%2Bhighlight_green%28+-80+%29=0\".
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Look at \"5%2F2%2AKyle%2Bhighlight_red%28+-80+%29=0\".
Removed extra sign in front of \"-80\"
It becomes \"5%2F2%2AKyle-highlight_green%28+80+%29=0\".
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Look at \"highlight_red%28+5%2F2%2AKyle-80+%29=0\".
Solved linear equation \"highlight_red%28+5%2F2%2AKyle-80=0+%29\" equivalent to 2.5*Kyle-80 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
\n" ); document.write( "This is an equation! Solutions: Kyle=32.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "So, Kyle's weight is 32 lbs and Margaret is 10 lbs heavier, so she must be 42 lbs. They are pretty little kids. \n" ); document.write( "
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