document.write( "Question 189683: $3000 are divided between two sons so that the elder son receives $200 more than two-thirds the share of the younger son. How much does each receives?\r
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Algebra.Com's Answer #142329 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Let \r
\n" ); document.write( "\n" ); document.write( "x=amount of money that the elder son receives and \r
\n" ); document.write( "\n" ); document.write( "y=amount of money that the younger son receives \r
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\n" ); document.write( "\n" ); document.write( "Because $3000 is being split among the two, this means that \"x%2By=3000\" (ie if you add their shares together, you will get $3000)\r
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\n" ); document.write( "\n" ); document.write( "Also, since \"$3000 are divided between two sons so that the elder son receives $200 more than two-thirds the share of the younger son\", this tells us that \"x=%282%2F3%29y%2B200\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%2By=3000\" Start with the first equation.
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\n" ); document.write( "\n" ); document.write( "\"%282%2F3%29y%2B200%2By=3000\" Plug in \"x=%282%2F3%29y%2B200\"\r
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\n" ); document.write( "\n" ); document.write( "\"cross%283%29%28%282%2Fcross%283%29%29y%29%2B3%28200%29%2B3%28y%29=3%283000%29\" Multiply EVERY term by the LCD \"3\" to clear the fractions.\r
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\n" ); document.write( "\n" ); document.write( "\"2y%2B600%2B3y=9000\" Multiply.\r
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\n" ); document.write( "\n" ); document.write( "\"5y%2B600=9000\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"5y=9000-600\" Subtract \"600\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"5y=8400\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"y=%288400%29%2F%285%29\" Divide both sides by \"5\" to isolate \"y\".\r
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\n" ); document.write( "\n" ); document.write( "\"y=1680\" Reduce.\r
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\n" ); document.write( "\n" ); document.write( "So this means that the younger son received $1,680\r
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\n" ); document.write( "\n" ); document.write( "\"x=%282%2F3%29y%2B200\" Go back to the second equation\r
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\n" ); document.write( "\n" ); document.write( "\"x=%282%2F3%29%281680%29%2B200\" Plug in \"y=1680\"\r
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\n" ); document.write( "\n" ); document.write( "\"x=3360%2F3%2B200\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"x=1120%2B200\" Reduce\r
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\n" ); document.write( "\n" ); document.write( "\"x=1320\" Combine like terms.\r
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\n" ); document.write( "\n" ); document.write( "So the elder son received $1,320\r
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