document.write( "Question 1016510: A bookstore sells paperback books for $5.95 each and hardcover books for $19.75 each. Last Tuesday, 86 books were sold for a total of $939.50. How many of each paperback and hardcover books were sold? \n" ); document.write( "
Algebra.Com's Answer #633149 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "P=number of paperbacks; H=number of hardcover books \n" ); document.write( ". \n" ); document.write( "P+H=86 \n" ); document.write( "P=86-H . Use this to substitute for P below. \n" ); document.write( ". \n" ); document.write( "$5.95P+$19.75H=$939.50 . Substitute for P from above. \n" ); document.write( "$5.95(86-H)=$19.75H=$939.50 \n" ); document.write( "$511.70-$5.95H+$19.75H=$939.50 \n" ); document.write( "$13.80H=$427.80 \n" ); document.write( "H=31 \n" ); document.write( ". \n" ); document.write( "ANSWER 1: 31 hardcover books were sold. \n" ); document.write( ". \n" ); document.write( "P=86-H=86-31=55 \n" ); document.write( ". \n" ); document.write( "ANSWER 2: 55 paperback books were sold. \n" ); document.write( ". \n" ); document.write( "CHECK: \n" ); document.write( "$5.95P+$19.75H=$939.50 \n" ); document.write( "$5.95(55)+$19.75(31)=$939.50 \n" ); document.write( "$327.25+$612.25=$939.50 \n" ); document.write( "$939.50=$939.50 \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |