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Q.

A bookshelf holds paperback and hardcover books. The ratio of paperback 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


Chapter/Topic:  Pair Of Linear Equations In Two Variables


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a

205

b

2305

c

225

d

198 

answer is D.

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Detailed Solution

The question stem states that the ratio of paperback books to hardcover books is 22 to 3.
Let the number of paperback and hardcover books be 22x and 3x respectively.
So, total number of books =22x+3x=25x
So, 25x lies between 202 and 247
So, the multiple of 25 in between 202 and 247 is 225.
So, 25x=225  → x=9
So,  no. of paperback books = 22x = 22×9 = 198.
Hence, Option (4) is the correct answer.
 
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