document.write( "Question 178004This question is from textbook
\n" ); document.write( ": A mother wants to give land to her three children. She gives 1/2 of the land to the oldest child, 1/3 to the second child and 1/9 of the land to the youngest child. She keeps one acre for herself. How many acres of land does each child get? \n" ); document.write( "

Algebra.Com's Answer #132974 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"a\"$ = the total acres of land
\n" ); document.write( " $\"%281%2F2%29%2Aa+%2B+%281%2F3%29%2Aa+%2B+%281%2F9%29%2Aa+%2B+1+=+a\"$
\n" ); document.write( "Multiply both sides by $\"2%2A3%2A9\"$
\n" ); document.write( " $\"3%2A9%2Aa+%2B+2%2A9%2Aa+%2B+2%2A3%2Aa+%2B+2%2A3%2A9+=+2%2A3%2A9%2Aa\"$
\n" ); document.write( " $\"27a+%2B+18a+%2B+6a+%2B+54+=+54a\"$
\n" ); document.write( " $\"54a+-+27a+-+18a+-+6a+=+54\"$
\n" ); document.write( " $\"54a+-+51a+=+54\"$
\n" ); document.write( " $\"3a+=+54\"$
\n" ); document.write( " $\"a+=+18\"$
\n" ); document.write( "The oldest child gets $\"18%2F2+=+9\"$ acres
\n" ); document.write( "The 2nd child gets $\"18%2F3+=+6\"$ acres
\n" ); document.write( "The youngest gets $\"18%2F9+=+2\"$ acres
\n" ); document.write( " $\"9+%2B+6+%2B+2+=+17\"$
\n" ); document.write( "There is $\"18+-+17+=+1\"$ acre left for the Mother \n" ); document.write( "

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