document.write( "Question 37347: Eve has two more marbles than Solene. \r\n" );
document.write( "Solene has twice as many marbles as Steve.\r\n" );
document.write( "Steve has 7 less marbles than Eve. \r\n" );
document.write( "How many marbles do they have between them?
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document.write( "
Algebra.Com's Answer #22985 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! Eve has two more marbles than Solene. \r\n" ); document.write( "Solene has twice as many marbles as Steve.\r\n" ); document.write( "Steve has 7 less marbles than Eve. \r\n" ); document.write( "How many marbles do they have between them?\r\n" ); document.write( "\r\n" ); document.write( "Suppose Eve has x marbles, Solene has y marbles,\r\n" ); document.write( "and Steve has z marbles.\r\n" ); document.write( "\r\n" ); document.write( ">>...Eve has two more marbles than solene...<<\r\n" ); document.write( "\r\n" ); document.write( "So Eve's marbles = Solene's marbles + 2 marbles, or\r\n" ); document.write( "\r\n" ); document.write( " x = y + 2 \r\n" ); document.write( "\r\n" ); document.write( ">>...Solene has twice as many marbles as Steve...<<\r\n" ); document.write( "\r\n" ); document.write( "So Solene's marbles = 2 times Steve's marbles, or\r\n" ); document.write( "\r\n" ); document.write( " y = 2z\r\n" ); document.write( "\r\n" ); document.write( ">>...Steve has 7 less marbles than Eve...<<\r\n" ); document.write( "\r\n" ); document.write( "So Steve's marbles = Eve's marbles - 7 marbles, or\r\n" ); document.write( " \r\n" ); document.write( " z = x - 7\r\n" ); document.write( "\r\n" ); document.write( "So now you have the system of equations:\r\n" ); document.write( "\r\n" ); document.write( " x = y + 2\r\n" ); document.write( " y = 2z\r\n" ); document.write( " z = x - 7\r\n" ); document.write( "\r\n" ); document.write( "Can you solve that system? If not post again.\r\n" ); document.write( "\r\n" ); document.write( "Answer to system: (x, y, z) = (12, 10, 5)\r\n" ); document.write( "\r\n" ); document.write( "However, the question was not \"How many does each have?\"\r\n" ); document.write( "but:\r\n" ); document.write( "\r\n" ); document.write( ">>...How many marbles do they have between them?...<<\r\n" ); document.write( "\r\n" ); document.write( "So we add 12 + 10 + 5 and get 27 marbles between them.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r\n" ); document.write( "AnlytcPhil@aol.com\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |