document.write( "Question 550983: april brought 8 books for $44. paperback books cost $4 and hardcover books cost $8. how many of each type of book did she buy? \n" ); document.write( "

Algebra.Com's Answer #359271 by oberobic(2304) $\"\"$ $\"About$

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h = number of hardback books
\n" ); document.write( "p = number of paperback books
\n" ); document.write( "h + p = 8
\n" ); document.write( "so
\n" ); document.write( "h = 8-p
\n" ); document.write( ".
\n" ); document.write( "4*p = price of paperbacks
\n" ); document.write( "8*h = price of hardbacks
\n" ); document.write( "4*p + 8*h = 44
\n" ); document.write( ".
\n" ); document.write( "substitute h = 8-p
\n" ); document.write( ".
\n" ); document.write( "4p + 8(8-p) = 44
\n" ); document.write( "4p +64 -8p = 44
\n" ); document.write( "-4p = -20
\n" ); document.write( "p = 5
\n" ); document.write( "h = 8-p
\n" ); document.write( "h = 3
\n" ); document.write( ".
\n" ); document.write( "check to be sure the values are right
\n" ); document.write( "4*5 = 20
\n" ); document.write( "3*8 = 24
\n" ); document.write( "20 +24 = 44
\n" ); document.write( "correct.
\n" ); document.write( ".
\n" ); document.write( "Answer: She purchased 5 paperbacks at $4 and 3 hardbacks at $8 for a total of $44.
\n" ); document.write( ".
\n" ); document.write( "Done. \n" ); document.write( "

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