document.write( "Question 237580: if a:b = 4:5 and a:(b+c)= 3:7 then a:c is\r
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document.write( "a) 1:2 b) 2:5 c) 4:7 d) 12:13 e) 20:21\r
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Algebra.Com's Answer #174700 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! Let a = 4\r \n" ); document.write( "\n" ); document.write( "Let b = 5\r \n" ); document.write( "\n" ); document.write( "Then we can make:\r \n" ); document.write( "\n" ); document.write( "4/(5 + c) = 3/7\r \n" ); document.write( "\n" ); document.write( "Cross-multiply:\r \n" ); document.write( "\n" ); document.write( "3(5 + c) = 4(7)\r \n" ); document.write( "\n" ); document.write( "15 + 3c = 28\r \n" ); document.write( "\n" ); document.write( "3c = 28 - 15\r \n" ); document.write( "\n" ); document.write( "3c = 13\r \n" ); document.write( "\n" ); document.write( "c = 13/3\r \n" ); document.write( "\n" ); document.write( "We are looking for a:c, which is really a/c.\r \n" ); document.write( "\n" ); document.write( "We know a and we just found b.\r \n" ); document.write( "\n" ); document.write( "So, plug and chug.\r \n" ); document.write( "\n" ); document.write( "4/(13/3) = 12/13 = 12:13\r \n" ); document.write( "\n" ); document.write( "Answer is choice d.\r \n" ); document.write( "\n" ); document.write( "===============================\r \n" ); document.write( "\n" ); document.write( "By the way, a:b can also be written a to c, which can also be written as a/c.\r \n" ); document.write( "\n" ); document.write( "They all mean the same thing.\r \n" ); document.write( "\n" ); document.write( "===============================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Think about it this way:\r \n" ); document.write( "\n" ); document.write( "Batman:Robin = Batman to Robin = Batman/Robin\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |