document.write( "Question 1184096: The ratio of Devi’s marbles to Eddie’s marbles was 2:5. After Devi
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document.write( "gave away 8 marbles and Eddie gave away 40 marbles, the ratio of
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document.write( "Devi’s marbles to Eddie marbles became 1:2. How many marbles
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document.write( "did Devi have at first? \n" );
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Algebra.Com's Answer #814623 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! The ratio of Devi’s marbles to Eddie’s marbles was 2:5. \n" ); document.write( " After Devi gave away 8 marbles and Eddie gave away 40 marbles, the ratio of \n" ); document.write( "Devi’s marbles to Eddie marbles became 1:2. \n" ); document.write( "How many marbles did Devi have at first? \n" ); document.write( ": \n" ); document.write( "let x = the multiplier \n" ); document.write( "then \n" ); document.write( "2x = D's marbles originally \n" ); document.write( "and \n" ); document.write( "5x = E's marbles originally \n" ); document.write( ": \n" ); document.write( "\"After Devi gave away 8 marbles and Eddie gave away 40 marbles, the ratio of \n" ); document.write( "Devi’s marbles to Eddie marbles became 1:2. \" \n" ); document.write( " \n" ); document.write( "cancel the second fraction's x's \n" ); document.write( " \n" ); document.write( "cross multiply \n" ); document.write( "5x - 40 = 2(2x-8) \n" ); document.write( "5x - 40 = 4x - 16 \n" ); document.write( "5x - 4x = -16 + 40 \n" ); document.write( "x = 24 is the multiplier \n" ); document.write( "therefore \n" ); document.write( "2*24 = 48 marbles D had originally \n" ); document.write( ": \n" ); document.write( "Check solution with substitution in the first equation \n" ); document.write( " |