document.write( "Question 1050776: Dan has 4520 pennies in three boxes. He says that there are 3 times as many pennies in the first box as in the third and twice as many in the decline box as in the first. How much does he have in each box ?
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Algebra.Com's Answer #666430 by advanced_Learner(501)\"\" \"About 
You can put this solution on YOUR website!
let x be the first box
\n" ); document.write( " y be the second box
\n" ); document.write( " z be the third box\r
\n" ); document.write( "\n" ); document.write( "x+y+z=4520\r
\n" ); document.write( "\n" ); document.write( "x=3z\r
\n" ); document.write( "\n" ); document.write( "y=2x\r
\n" ); document.write( "\n" ); document.write( "\"x%2B2x%2Bx%2F3=4520\"
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: x=1356.
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  • Graphical form: Equation \"x%2B2x%2B%28x%2F3%29=4520\" was fully solved.
  • Text form: x+2x+(x/3)=4520 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+x%2B2x%2B%28x%2F3%29=4520+%29\"
    For tutors: simplify_cartoon( x+2x+(x/3)=4520 )
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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 \"x%2B2%2Ax%2Bhighlight_red%28+%28x%2F3%29+%29=4520\".
Remove unneeded parentheses around terms \"highlight_red%28+x%2F3+%29\"
It becomes \"x%2B2%2Ax%2Bhighlight_green%28+x%2F3+%29=4520\".
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Look at \"highlight_red%28+x+%29%2Bhighlight_red%28+2%2Ax+%29%2Bhighlight_red%28+x%2F3+%29=4520\".
Eliminated similar terms \"highlight_red%28+x+%29\",\"highlight_red%28+2%2Ax+%29\",\"highlight_red%28+x%2F3+%29\" replacing them with \"highlight_green%28+%281%2B2%2B1%2F3%29%2Ax+%29\"
It becomes \"highlight_green%28+%281%2B2%2B1%2F3%29%2Ax+%29=4520\".
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Look at \"%28highlight_red%28+1+%29%2Bhighlight_red%28+2+%29%2Bhighlight_red%28+1%2F3+%29%29%2Ax=4520\".
Added fractions or integers together
It becomes \"%28highlight_green%28+10%2F3+%29%29%2Ax=4520\".
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Look at \"highlight_red%28+%28highlight_red%28+10%2F3+%29%29%2Ax+%29=4520\".
Remove unneeded parentheses around factor \"highlight_red%28+10+%29\",\"highlight_red%28+1%2F3+%29\"
It becomes \"highlight_green%28+10+%29%2Fhighlight_green%28+3+%29%2Ax=4520\".
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Look at \"10%2F3%2Ax=highlight_red%28+4520+%29\".
Moved these terms to the left \"highlight_green%28+-4520+%29\"
It becomes \"10%2F3%2Ax-highlight_green%28+4520+%29=0\".
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Look at \"highlight_red%28+10%2F3%2Ax-4520+%29=0\".
Solved linear equation \"highlight_red%28+10%2F3%2Ax-4520=0+%29\" equivalent to 3.33333333333333*x-4520 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
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Universal Simplifier and Solver

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Done!
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