document.write( "Question 221000: Two long books containing a total of 2400 pages have a ratio of 3 pages to 5 pages. How many pages are in each book?
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #165789 by drj(1380)![]() ![]() You can put this solution on YOUR website! Two long books containing a total of 2400 pages have a ratio of 3 pages to 5 pages. How many pages are in each book?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Let x be the number of pages of the first book.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Let 2400-x be the number of pages of the second book.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. Multiplying 5(2400-x) to both sides of the equation in Step 3 to get rid of the denominators yields\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Adding 3x to both sides yields\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide by 8 to both sides of equation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. ANSWER: One book has 900 pages and the other book has 1500 pages.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Respectfully, \n" ); document.write( "Dr J \n" ); document.write( " |