There 3 kinds of books in the library fiction, non-fiction and biology. Ratio of fiction to non-fiction is 3 to 2; ratio of non-fiction to biology is 4 to 3, and the total of the books is more than 1000?which one of following can be the total of the book?
A 1001 B. 1009 C.1008 D.1007 E.1006
Difficult Math Question #44 - Ratios
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- ajith
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Fiction:Nonfiction = 3:2=6:4800guy wrote:There 3 kinds of books in the library fiction, non-fiction and biology. Ratio of fiction to non-fiction is 3 to 2; ratio of non-fiction to biology is 4 to 3, and the total of the books is more than 1000?which one of following can be the total of the book?
A 1001 B. 1009 C.1008 D.1007 E.1006
nonfiction:biology= 4:3
Fiction:Nonfiction:biology=6:4:3
And books can exist only in integral numbers
ie total no of books has to be a multiple of 6+4+3 =13
only A is a multiple of 13 in the answers
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Answer is A
F:NF = 3:2
NF:B = 4:3
F:NF:B = 6:4:3
the number of books should be divisable by the total => 1001
F:NF = 3:2
NF:B = 4:3
F:NF:B = 6:4:3
the number of books should be divisable by the total => 1001
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Solution:800guy wrote:There 3 kinds of books in the library fiction, non-fiction and biology. Ratio of fiction to non-fiction is 3 to 2; ratio of non-fiction to biology is 4 to 3, and the total of the books is more than 1000?which one of following can be the total of the book?
A 1001
B. 1009
C.1008
D.1007
E.1006
We are given:
Ratio of fiction to nonfiction = 3 : 2
Ratio of nonfiction to biology = 4 : 3
We can multiply the first ratio by 2 and we have:
fiction to nonfiction = 6 : 4
Thus, we now have a three-part ratio (which we can express using an x multiplier):
fiction to nonfiction to biology = 6x : 4x : 3x
We see that the total books must be a multiple of 6x + 4x + 3x = 13x, or a multiple of 13.
Of the answer choices, only 1001 is a multiple of 13.
Answer: A
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There 3 kinds of books in the library fiction, non-fiction and biology. Ratio of fiction to non-fiction is 3 to 2; ratio of non-fiction to biology is 4 to 3, and the total of the books is more than 1000?which one of following can be the total of the book?
A 1001 B. 1009 C.1008 D.1007 E.1006
Answer:
First find the three ratios.
We get 6:4:3
Adding all these we get 13
In the above options 1001 is only the multiple of 13.
So the answer is A.
A 1001 B. 1009 C.1008 D.1007 E.1006
Answer:
First find the three ratios.
We get 6:4:3
Adding all these we get 13
In the above options 1001 is only the multiple of 13.
So the answer is A.