document.write( "Question 960724: Three girls Devi, Rashida and Nicole shared a sum of money in the ration 6:5:4. Devi got Rs40 more than Nicole.
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\n" ); document.write( "2) How much Devi must give to Rashida so that they share the same amount of money
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Algebra.Com's Answer #587149 by Theo(13342)\"\" \"About 
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the girls are given money in the ratio of 6:5:4.
\n" ); document.write( "you get:
\n" ); document.write( "D:R:N = 6:5:4\r
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\n" ); document.write( "\n" ); document.write( "if you assume the total amount of money that they received is equal to 15x, then:\r
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\n" ); document.write( "\n" ); document.write( "D gets 6x
\n" ); document.write( "R gets 5x
\n" ); document.write( "N gets 4x\r
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\n" ); document.write( "\n" ); document.write( "this is because 6x + 5x + 4x = 15x.\r
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\n" ); document.write( "\n" ); document.write( "you are told that D gets 40 more than Nicole.\r
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\n" ); document.write( "\n" ); document.write( "this means that 6x = 4x + 40\r
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\n" ); document.write( "\n" ); document.write( "subtract 4x from both sides of this equation to get 2x = 40.\r
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\n" ); document.write( "\n" ); document.write( "divide both sides by 2 to get x = 20\r
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\n" ); document.write( "\n" ); document.write( "D gets 6 * 20 = 120
\n" ); document.write( "R gets 5 * 20 = 100
\n" ); document.write( "N gets 4 * 20 = 80\r
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\n" ); document.write( "\n" ); document.write( "ratio is 120:100:80 which simplifies to 12:10:8 which further simplifies to 6:5:4.\r
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\n" ); document.write( "\n" ); document.write( "since D gets 120 and R gets 100, D must give R 10, after which D will get 110 and R will also get 110.\r
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