document.write( "Question 1184096: The ratio of Devi’s marbles to Eddie’s marbles was 2:5. After Devi
\n" ); document.write( "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. How many marbles
\n" ); document.write( "did Devi have at first?
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Algebra.Com's Answer #814623 by ankor@dixie-net.com(22740)\"\" \"About 
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( "\"%282x-8%29%2F%285x-40%29\" = \"%281x%29%2F%282x%29\"
\n" ); document.write( "cancel the second fraction's x's
\n" ); document.write( "\"%282x-8%29%2F%285x-40%29\" = \"1%2F2\"
\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( "\"%2848-8%29%2F%28120-40%29\" = \"%2840%29%2F%2880%29\"
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