document.write( "Question 1208419: Hi
\n" ); document.write( "Mrs Johnson and her 2 sons Bernard and raymond shared a sum of money. The ratio received by Mrs Johnson to that received by Bernard was 5 to 2 . The ratio of money received by Bernard to that received by Raymond was 3 to 4 . After Mrs Johnson gave 20% of her share to Raymond and Bernard donated 1/3 of his share to charity. Raymond then had $4270 more than Bernard.
\n" ); document.write( "What was the sum of money shared by the three of them. \n" ); document.write( "

Algebra.Com's Answer #846827 by ikleyn(52780) $\"\"$ $\"About$

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\n" ); document.write( "Mrs Johnson and her 2 sons Bernard and raymond shared a sum of money.
\n" ); document.write( "The ratio received by Mrs Johnson to that received by Bernard was 5 to 2 .
\n" ); document.write( "The ratio of money received by Bernard to that received by Raymond was 3 to 4.
\n" ); document.write( "After Mrs Johnson gave 20% of her share to Raymond and Bernard donated 1/3 of his share to charity.
\n" ); document.write( "Raymond then had $4270 more than Bernard.
\n" ); document.write( "What was the sum of money shared by the three of them.
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document.write( "From this statement, \"The ratio received by Mrs Johnson to that received by Bernard was 5 to 2\",\r\n" );
document.write( "I choose to write 5x for Mrs. Johnson amount and 2x for the Bernard amount.\r\n" );
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document.write( "Here \"x\" is the common measure of these amounts, in dollars. \r\n" );
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document.write( "From the second statement, \"The ratio of money received by Bernard to that received by Raymond was 3 to 4\"\r\n" );
document.write( "we conclude that Raymond then received   =  dollars. \r\n" );
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document.write( "After re-distribution and donation, Raymond has   =  =  dollars;\r\n" );
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document.write( "                                    Bernard has   =  = .\r\n" );
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document.write( "Now Raymond has $4270 more than Bernard\r\n" );
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document.write( "     -  = 4270  dollars.\r\n" );
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document.write( "The setup is complete. Now we should solve this equation and find x.\r\n" );
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document.write( "Multiply both sides by 3\r\n" );
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document.write( "    11x - 4x = 3*4270\r\n" );
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document.write( "        7x   =  12810\r\n" );
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document.write( "         x   =  12810/7 = 1830.\r\n" );
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document.write( "Thus the sum of money shared by the three of them was  5x + 2x +  =  = 17690 dollars.\r\n" );
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document.write( "ANSWER.  The sum of money shared by the three of them was  17690 dollars.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved completely, using only one single unknown variable,\r
\n" ); document.write( "\n" ); document.write( "and in a way as it should be done and as it is expected to be done.\r
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