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# Currently there are 50 picture books on each shelf in the

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Intern
Joined: 16 Jun 2010
Posts: 14
Currently there are 50 picture books on each shelf in the  [#permalink]

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17 Jun 2010, 07:09
1
1
00:00

Difficulty:

25% (medium)

Question Stats:

75% (01:43) correct 25% (01:28) wrong based on 61 sessions

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Currently there are 50 picture books on each shelf in the children's section of a library. If these books were to be placed on smaller shelves with 30 picture books on each shelf, how many of the smaller shelves would be needed to hold all these books?
(1) The number of smaller shelves needed is 6 more than the current number of shelves.
(2) Currently there are 9 shelves in the children's section.
SVP
Status: Three Down.
Joined: 09 Jun 2010
Posts: 1850
Concentration: General Management, Nonprofit
Re: need help to resolve question  [#permalink]

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17 Jun 2010, 07:23
1
Present Situation:

Number of books in each shelf = 50
Number of shelves = x
Total number of books = 50x

New Situation:

Number of books in each shelf = 30
Number of shelves = y
Total number of books = 30y

We have to note that total number of books will remain the same no matter how many shelves are used. This means:

$$50*x = 30*y$$

Now, consider the first statement:

It says that there are 6 more shelves in the new situation than in the old one, which means that

$$y = x+6$$

So you can solve for the equation as follows:

$$50*x = 30*y 50*x = 30*(x+6) = 30*x + 180 20*x = 180 x = 90 y = 90 + 6 = 96$$

So we are down to choosing between answer choices A and D. So let's examine the second statement:

This basically says that $$x = 9$$

So we can solve the equation as follows again:

$$50*x = 30*y y = \frac {50*x}{30} y = \frac {50*9}(30} = \frac {450}{30} = 15$$

So this statement is also valid. Hence the correct answer would be: D

I think this explanation is right. Please feel free to point out any errors if there are any!
Manager
Joined: 07 Oct 2006
Posts: 58
Location: India
Re: need help to resolve question  [#permalink]

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17 Jun 2010, 07:57
Nice explanation. It is relatively an easier one to solve.
Intern
Joined: 16 Jun 2010
Posts: 14
Re: need help to resolve question  [#permalink]

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19 Jun 2010, 01:18
your answer would be correct is the shelves were big. However, the questions mentions that the books were to be placed in smaller shelves
Non-Human User
Joined: 09 Sep 2013
Posts: 11013
Re: Currently there are 50 picture books on each shelf in the  [#permalink]

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17 Mar 2019, 12:51
Hello from the GMAT Club BumpBot!

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Re: Currently there are 50 picture books on each shelf in the   [#permalink] 17 Mar 2019, 12:51
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