document.write( "Question 220203: A bookstore priced all hardback books at $5 a book and all paper back books at $1. The store sold 30 more paper backs than hardbacks. Total sales were $354. How many of each type were sold. \n" ); document.write( "

Algebra.Com's Answer #165394 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"h\"$ = number of hardbacks soold
\n" ); document.write( "Let $\"p\"$ = number of paperbacks sold
\n" ); document.write( "given:
\n" ); document.write( " $\"p+=+h+%2B+30\"$
\n" ); document.write( "(1) $\"p+-+h+=+30\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"1%2Ap+%2B+5h+=+354\"$
\n" ); document.write( "Multiply both sides of (1) by $\"5\"$ and add to (2)
\n" ); document.write( " $\"5p+-+5h+=+150\"$
\n" ); document.write( " $\"p+%2B+5h+=+354\"$
\n" ); document.write( " $\"6p+=+504\"$
\n" ); document.write( " $\"p+=+84\"$
\n" ); document.write( "and
\n" ); document.write( " $\"p+=+h+%2B+30\"$
\n" ); document.write( " $\"84+=+h+%2B+30\"$
\n" ); document.write( " $\"h+=+54\"$
\n" ); document.write( "84 paperbacks and 54 hardcovers were sold
\n" ); document.write( "check answer:
\n" ); document.write( "(2) $\"1%2Ap+%2B+5h+=+354\"$
\n" ); document.write( " $\"84+%2B+5%2A54+=+354\"$
\n" ); document.write( " $\"84+%2B+270+=+354\"$
\n" ); document.write( " $\"354+=+354\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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