document.write( "Question 5377: A man left one-fourth of his estate to his wife, one-fifth to each of his two sons, one-eighth to his daughter and the remainder, an amount P32,000 to charity. Find the amount of the estate. \n" ); document.write( "
Algebra.Com's Answer #2746 by Abbey(339)\"\" \"About 
You can put this solution on YOUR website!
Find a common denominator:\r
\n" ); document.write( "\n" ); document.write( "Let x = the amount of the estate
\n" ); document.write( "The total estate =
\n" ); document.write( "\"x%2F4\"=amount left to wife (1/4 of the estate)
\n" ); document.write( "\"2x%2F5\"=amount left to sons (2 sons at 1/5 of estate)
\n" ); document.write( "\"x%2F8\" = amount left to daughter (1/8 of the estate)\r
\n" ); document.write( "\n" ); document.write( "so then we know that :
\n" ); document.write( "\"x%2F4+%2B+2x%2F5+%2B+x%2F8+%2B32%2C000+=+x\"\r
\n" ); document.write( "\n" ); document.write( "Find a common denominator and solve for x:\r
\n" ); document.write( "\n" ); document.write( "\"10x%2F40+%2B+16x%2F40+%2B+5x%2F40+%2B+32000+=+x\"
\n" ); document.write( "\"31x%2F40+%2B+32000+=+x\"
\n" ); document.write( "\"32000=x-31x%2F40\"
\n" ); document.write( "\"32000+=+9x%2F40\"
\n" ); document.write( "Multiply both sides by \"40%2F9\"
\n" ); document.write( "142222=x\r
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