document.write( "Question 1198416: An inheritance is split among 5 brothers. The first receives half of the inheritance plus $1. The second receives half of the remainder plus $2. The third receives half of the remainder plus $3. The fourth receives half of the remainder plus $4. The last brother receives $500. What is the total amount of the inheritance? \n" ); document.write( "

Algebra.Com's Answer #832181 by MathTherapy(10555) $\"\"$ $\"About$

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\n" ); document.write( "An inheritance is split among 5 brothers. The first receives half of the inheritance plus $1. The second receives half of the remainder plus $2. The third receives half of the remainder plus $3. The fourth receives half of the remainder plus $4. The last brother receives $500. What is the total amount of the inheritance?
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Let inheritance be i\r\n" );
document.write( "After 1st gets ½ inheritance, plus $1, remaining amount is:  \r\n" );
document.write( "After 2nd gets ½ remainder, plus $2, remaining amount is: \r\n" );
document.write( "After 3rd gets ½ remainder, plus $3, remaining amount is: \r\n" );
document.write( "After 4th gets ½ remainder, plus $4, remaining amount is: \r\n" );
document.write( "Although NOT stated, the 5th rec’d the remainder after the 4th got his. \r\n" );
document.write( "So, as the 5th rec’d $500, we have: \r\n" );
document.write( "                                     I - 98 = 16(500) ----- Multiplying by LCD, 16\r\n" );
document.write( "\r\n" );
document.write( "               Amount of inheritance, or

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