There are 32,000 books in a library. The science, Mathematics and general knowledge books are in the ratio 5:4:7. Find the number of books of each subject
Answers
Answer:
10000,8000,14000
Step-by-step explanation:
5x+4x+7x=32000
16x=32000
x=2000
5x=5*2000=10000
4x=4*2000=8000
7x=7*2000=14000
Step-by-step explanation:
THERE ARE NO. OF BOOKS IN LIBRARY = 32,000
THE SCIENCE, MATHEMATICS AND GENERAL KNOWLEDGE BOOKS ARE IN THE RATIO = 5:4:7
SO, HOW MANY BOOKS ARE OF SCIENCE, MATHEMATICS AND GENERAL KNOWLEDGE =
SUM OF THE TERMS OF THE RATIO = 5+4+7 = 16
SCIENCE BOOKS = (5/16*32,000) = 10,000
MATHEMATICS BOOKS = (4/16*32,000) = 8,000
GENERAL KNOWLEDGE BOOKS =
= (7/16*32000) = 14,000
ALTERNATIVE METHOD OR SECOND METHOD:
LET 5X,4X AND 7X ARE THE SCIENCE, MATHEMATICS AND GENERAL KNOWLEDGE BOOKS.
SO, = 5X + 4X + 7X = 32,000
= 16X = 32,000
= X = 32,000/16
= X = 2,000
SCIENCE BOOKS = 5X = (5*2,000) BOOKS = 10,000 BOOKS
MATHEMATICS BOOKS = 4X = (4*2,000) BOOKS = 8,000 BOOKS
GENERAL KNOWLEDGE BOOKS = 7X =
(7*2,000) BOOKS = 14,000 BOOKS
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