document.write( "Question 74282: Can anyone please help me with this problem?\r
\n" ); document.write( "\n" ); document.write( "One-tenth of a rod is colored red, one-twentieth orange, one-thirieth yellow, one-fortieth green, one-fiftieth blue, one-sixtieth indigo, and the remainder, which is 302 in. long, violet. Find the length of the rod.
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Algebra.Com's Answer #53284 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
One-tenth of a rod is colored red, one-twentieth orange, one-thirieth yellow, one-fortieth green, one-fiftieth blue, one-sixtieth indigo, and the remainder, which is 302 in. long, violet. Find the length of the rod.
\n" ); document.write( "Let the length of the rod be: x
\n" ); document.write( "Then the red part is: 1/10x
\n" ); document.write( "the orange part is: 1/20x
\n" ); document.write( "The yellow part is: 1/30x
\n" ); document.write( "the green part is:1/40x
\n" ); document.write( "the blue part is:1/50x
\n" ); document.write( "the indigo part is:1/60x
\n" ); document.write( "The rest is: 302 in
\n" ); document.write( "Problem to solve is:
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\n" ); document.write( "The LCD is 600, multiply all of the terms by 600 to clear the fractions.
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\n" ); document.write( "\"60x%2B30x%2B20x%2B15x%2B12x%2B10x%2B181200=600x\"
\n" ); document.write( "\"147x%2B181200=600x\"
\n" ); document.write( "\"147x-147x%2B181200=600x-147x\"
\n" ); document.write( "\"181200=453x\"
\n" ); document.write( "\"181200%2F453=453x%2F453\"
\n" ); document.write( "\"400=x\"
\n" ); document.write( "The rod is 400 in long.
\n" ); document.write( "Sanity check:
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\n" ); document.write( "\"40%2B20%2B40%2F3%2B10%2B8%2B20%2F3%2B302=400\"
\n" ); document.write( "\"40%2B20%2B10%2B8%2B302%2B%2840%2B20%29%2F3=400\"
\n" ); document.write( "\"40%2B20%2B10%2B8%2B302%2B60%2F3=400\"
\n" ); document.write( "\"40%2B20%2B10%2B8%2B302%2B20=400\"
\n" ); document.write( "\"400=400\"
\n" ); document.write( "If you weren't insane before messing with all those fractions, you probably are now. Any way we seem to be right.
\n" ); document.write( "Happy Calculating!!!!
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