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)\"\" \"About 
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. \"3%2F5=x%2F%282400-x%29\" since the two long books containing a total of 2400 pages have a ratio of 3 pages to 5 pages.\r
\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( "\"5%2A%282400-x%29%2A3%2F5=5%2A%282400-x%29%2Ax%2F%282400-x%29\" \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3%2A%282400-x%29=5x%7C%7C%7C%0D%0A%0D%0A%0D%0A%7B%7B%7B7200-3x=5x\"\r
\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( "\"7200-3x%2B3x=5x%2B3x%7C%7C%7C%0D%0A%0D%0A%0D%0A%7B%7B%7B7200=8x\"}\r
\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( "\"7200%2F8=8x%2F8\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=900\" then \"2400-x=1500\" and 900/1500=3/5.\r
\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( "
\n" );