document.write( "Question 128020This question is from textbook Algebra structure and method book 1
\n" ); document.write( ": Finding number of books. Verna decided to sell her collection of paperback books. To Fred, she sold 2 books, and one fifth of what was left. Later to Joan she sold 6 books, and one fifth of what then remained. If she sold more books to Fred than Joan, what was the least possible number of books in her original collection? \n" ); document.write( "
Algebra.Com's Answer #93741 by stanbon(75887)\"\" \"About 
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Verna decided to sell her collection of paperback books. To Fred, she sold 2 books, and one fifth of what was left. Later to Joan she sold 6 books, and one fifth of what then remained. If she sold more books to Fred than Joan, what was the least possible number of books in her original collection?
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\n" ); document.write( "Let \"x\" be the original number of books.
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\n" ); document.write( "Sold to Fred:
\n" ); document.write( "2+(1/5)(x-2) = (1/5)x+(8/5) = (x+8)/5
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\n" ); document.write( "Sold to Joan:
\n" ); document.write( "6+(1/5)[(x+8)/5 - 6] = 6+[(x+8)/25]-(6/5) = (x+128)/25
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\n" ); document.write( "Your Problem:
\n" ); document.write( "She sold more books to Fred that to Joan:
\n" ); document.write( "(x+8)/5 > (x+128)/25
\n" ); document.write( "5x+40 > x+128
\n" ); document.write( "4x > 88
\n" ); document.write( "x > 22 books in the original collection.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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