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 1061999: 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, addingup:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
3x+5x=2400
x=2400/8
x=300
3x=900
5x=1500
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
A ratio of 3:5 means that out of every 3+5 = 8 pages 3 are one book and 5 the other. So, divide 2400 by 8 to see how many groups of 8 we have: 2400/8 = 300 groups, and each group has 3 of one and 5 of the other: 3*300 = 900 pages for one and 5*300 = 1500 of the other.
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Check:
900+1500 = 2400 and 900/1500 simplify, divide top and bottom by 100 = 9/15, simplify, divide top and bottom by 3 = 3/5 Correct
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