document.write( "Question 717836: How long will it take 10 painters to paint a school if 6 painters take 15 days to paint the school \n" ); document.write( "

Algebra.Com's Answer #440570 by Edwin McCravy(20081) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "You can use:\r\n" );
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document.write( "Painters times days (in one situation) = Painters times days (in the other situation).\r\n" );
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document.write( "10x = 6·13\r\n" );
document.write( "10x = 90\r\n" );
document.write( " Divide both sides by 10\r\n" );
document.write( " = \r\n" );
document.write( "  x = 9\r\n" );
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document.write( "Or you can think it out this way:  \r\n" );
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document.write( "The least common multiple of 6 painters and 10 painters\r\n" );
document.write( "is 30 painters.\r\n" );
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document.write( "Since 6 painters take 15 days to paint the school,\r\n" );
document.write( "30 painters could paint the school in only 3 days. \r\n" );
document.write( "That's because 30 is 5 times as many painters and \r\n" );
document.write( "so they could finish in 1/5th of the time, and \r\n" );
document.write( "1/5th of 15 days is 3 days. \r\n" );
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document.write( "10 painters is only 1/3 as many painters as 30 painters,\r\n" );
document.write( "so it would take them 3 times as long as it would take \r\n" );
document.write( "30 painters, and 3×3 is 9, so it would take them 9 hours.\r\n" );
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document.write( "Edwin

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