SOLUTION: 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?

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?

Found 2 solutions by rfer, drj:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
3x+5x=2400
8x=2400
x=300
3x=900
5x=1500
Answer by drj(1380) (Show Source): 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?

Step 1. Let x be the number of pages of the first book.

Step 2. Let 2400-x be the number of pages of the second book.

Step 3. since the two long books containing a total of 2400 pages have a ratio of 3 pages to 5 pages.

Step 4. Multiplying 5(2400-x) to both sides of the equation in Step 3 to get rid of the denominators yields

Adding 3x to both sides yields

}

Divide by 8 to both sides of equation

then and 900/1500=3/5.

Step 5. ANSWER: One book has 900 pages and the other book has 1500 pages.

I hope the above steps were helpful.

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.

Good luck in your studies!

Respectfully,
Dr J
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