document.write( "Question 1204644: Three shops sold the same number of lanterns during the lantern festival. Shop A sold 1/2 or its lanterns, Shop B sold 2/3 of its lanterns and Shop C sold 3/4 of its lanterns. If the three shops had a total of 330 lanterns left, how many lanterns did each shop sell? \n" ); document.write( "

Algebra.Com's Answer #841030 by ikleyn(52802) $\"\"$ $\"About$

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\n" ); document.write( "Three shops sold the same number of lanterns during the lantern festival.
\n" ); document.write( "Shop A sold 1/2 or its lanterns, Shop B sold 2/3 of its lanterns and
\n" ); document.write( "Shop C sold 3/4 of its lanterns. If the three shops had a total of 330 lanterns left,
\n" ); document.write( "how many lanterns did each shop sell?
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document.write( "Let x be the same number of lanterns sold in each shop.\r\n" );
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document.write( "Shop 1 sold 1/2 of its lanterns; this 1/2 is x; \r\n" );
document.write( "       hence, the original amount of lanterns in shop 1 was 2x.\r\n" );
document.write( "       2x-x = x is the amount of lanterns remained in shop 1.\r\n" );
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document.write( "Shop 2 sold 2/3 of its lanterns; this 2/3 is x; \r\n" );
document.write( "       hence, the original amount of lanterns in shop 2 was .\r\n" );
document.write( "        =  is the amount of lanterns remained in shop 2.\r\n" );
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document.write( "Shop 3 sold 3/4 of its lanterns; this 3/4 is x; \r\n" );
document.write( "       hence, the original amount of lanterns in shop 3 was .\r\n" );
document.write( "        =  is the amount of lanterns remained in shop 3.\r\n" );
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document.write( "The three shops had a total of 330 lanterns left. It gives us this equation\r\n" );
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document.write( "    x +  +  = 330.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    x +  +  = 330\r\n" );
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document.write( "     +  +  = 330\r\n" );
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document.write( "     = 330\r\n" );
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document.write( "    x =  = 30*6 = 180.\r\n" );
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document.write( "Each shop sold 180 lanterns.    ANSWER\r\n" );
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