document.write( "Question 1198175: A man made a will in which he left 4/9 of his money to his wife and 2/5 of the remainder to his eldest child. The rest was to be shared equally among his four younger children. If each of the younger children received N108 000, what was his wife's share? \n" ); document.write( "
Algebra.Com's Answer #831743 by greenestamps(13198)\"\" \"About 
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\n" ); document.write( "(1) The wife gets 4/9 of the money; 5/9 of it is left.

\n" ); document.write( "(2) The eldest child gets 2/5 of the money that is left; that is (2/5) of (5/9) of the whole amount: (2/5)(5/9)=2/9. Now the fraction of the whole amount left is 5/9-2/9 = 3/9 = 1/3.

\n" ); document.write( "(3) Each of the other four children gets 1/4 of what is left. (1/4) of (1/3) of the whole amount is 1/12 of the whole amount.

\n" ); document.write( "It is given that each of those younger children got N108,000, so the whole amount was 12*N108,000 = N1,296,000.

\n" ); document.write( "The wife's share was 4/9 of the total: (4/9)(N1,296,000) = N576,000.

\n" ); document.write( "ANSWER: N576,000

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