Question

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

• A. $205$
• B. $2305$
• C. $225$
• D. $198$

Answer 1

Answer: (D)

$198$

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, $25x=225$ $\to$ $x=9$

So, no. of paperback books = $22x=22\times 9=198$