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Q.

A bookshelf holds both paperback and hardcover books. The ratio of paper-back books to hardcover books is 22 to 3. How many paperback books are on the shelf? The number of books on the shelf is between 202 and 247, inclusive


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a

205

b

2305

c

225

d

198

answer is D.

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Detailed Solution

Concept- The question states that the paperback ratio  to hardcover isQuestion Image.
 The number of paperbacks and bound books is 22 times
 And Question Image Respectively.
 Therefore, the total number of books Question Image= 25x
 So 25 times
 Between 202 and 247
 Therefore, the multiple of 25  between 202 and 247 is 225.
 So we get
Question ImageSince we  assumed that the number of paperbacks is equal to 22x
 Substituting the value of x gives:
Question ImageTherefore, there are 198 paperbacks on the shelves.
Hence, the correct answer is options 4) .
 
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