document.write( "Question 29035: In his will, a man leaves one-half of his money to his wife, one-half of what is left to his older child, and one-half of what is then left to his younger child. His cousins divide the remainder equally, each receiving $2000. What was the total amount of money in the man's will and how much did his wife and each child get? \n" ); document.write( "
Algebra.Com's Answer #16071 by sdmmadam@yahoo.com(530)\"\" \"About 
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In his will, a man leaves one-half of his money to his wife, one-half of what is left to his older child, and one-half of what is then left to his younger child. His cousins divide the remainder equally, each receiving $2000. What was the total amount of money in the man's will and how much did his wife and each child get?
\n" ); document.write( "Let the total amount of money in the man’s will be A$
\n" ); document.write( "Amount to wife = (1/2)A
\n" ); document.write( "What is left = A-(1/2)A = (1/2) A
\n" ); document.write( "Amount to older child = (1/2) of what is left = (1/2)[(1/2)A] = (1/4)A
\n" ); document.write( "What is still left = (1/2)A- (1/4)A = (1/4)A
\n" ); document.write( "Amount to younger child = (1/2) of what is still left = (1/2)[(1/4)A]=(1/8)A
\n" ); document.write( "The remainder left = (1/4)A-(1/8)A= (1/8)A
\n" ); document.write( "If there were to be N cousins,then (1/8)A is divided equally amongst the N cousins
\n" ); document.write( "and each one’s share =$2000
\n" ); document.write( "That is [(1/8)A]/N = 2000
\n" ); document.write( "[(1/8)A]=(2000)N
\n" ); document.write( "That is (A/8) = 2000 N
\n" ); document.write( "Therefore A = (2000 N) X 8
\n" ); document.write( "That is A = $16000 N
\n" ); document.write( "Answer: The total amonut of money in the man’s will = $(16000 N)
\n" ); document.write( "Where N is the total number of cousins of the man.
\n" ); document.write( "The wife gets (1/2)A= (1/2)(16000 N) =$ 8000N
\n" ); document.write( "Amount to older child = (1/4)A =(1/4)(16000 N) =$ 4000N
\n" ); document.write( "Amount to younger child =(1/8)A=(1/8)(16000 N) =$ 2000N
\n" ); document.write( "Verification: The sum total of all the shares should be the total amount $A
\n" ); document.write( "Therefore: wife’s share + elder child ’s share + younger child ’s share + the cousins’ share
\n" ); document.write( "=(1/2)A+(1/4)A+(1/8)A+(1/8)A =A
\n" ); document.write( "= $ 8000N+$ 4000N+$2000N+$2000N=$16000N which is correct. \n" ); document.write( "
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