document.write( "Question 87072: it takes Mars 1.88 years to travel around the sun.It takes Mercury 0.24 years to orbit the sun. If the planets are in a straight line with the sun now, how long will it be before this is the case again? The answer must be accurate to the nearest hundredth of a year. \n" ); document.write( "
Algebra.Com's Answer #63043 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "it takes Mars 1.88 years to travel around the sun.It takes Mercury 0.24 years\r\n" ); document.write( "to orbit the sun. If the planets are in a straight line with the sun now, how\r\n" ); document.write( "long will it be before this is the case again? The answer must be accurate to\r\n" ); document.write( "the nearest hundredth of a year.\r\n" ); document.write( "\r\n" ); document.write( "We must find the smallest positive integer N \r\n" ); document.write( "such that when we multiply both 1.88 and .24 by N \r\n" ); document.write( "we get a positive integer, that is\r\n" ); document.write( "\r\n" ); document.write( "1.88N = P , whener P is a positive integer\r\n" ); document.write( " and\r\n" ); document.write( "\r\n" ); document.write( "0.24N = Q , whener Q is also a positive integer\r\n" ); document.write( "\r\n" ); document.write( "Multiply both equations by 100 to remove decimals:\r\n" ); document.write( "\r\n" ); document.write( "188N = 100P\r\n" ); document.write( "\r\n" ); document.write( "24N = 100Q\r\n" ); document.write( "\r\n" ); document.write( "Solve each for N\r\n" ); document.write( "\r\n" ); document.write( "N = \n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |