info booklets

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nakul17: Newbie | Next Rank: 10 Posts; Posts: 8; Joined: Fri Aug 02, 2013 6:54 am

by nakul17 » Mon Oct 14, 2013 11:03 am

Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team B, but each box of Team A's has 60% fewer booklets than each box of Team B's. Which of the following could be the total number of booklets distributed by the two groups?

2,000

3,200

4,100

4,800

4,900

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Source: Beat The GMAT — Data Sufficiency | Mon Oct 14, 2013 11:03 am

rakeshd347: Master | Next Rank: 500 Posts; Posts: 391; Joined: Sat Mar 02, 2013 5:13 amFollowed by: 4 members; Thanked: 50 times

by rakeshd347 » Mon Oct 14, 2013 3:11 pm

nakul17 wrote:Two teams are distributing information booklets. Team A distributes 60% more boxes of booklets than Team B, but each box of Team A's has 60% fewer booklets than each box of Team B's. Which of the following could be the total number of booklets distributed by the two groups?

2,000

3,200

4,100

4,800

4,900

I think the answer is C.

here is my explanation.

Let us say that B has x boxes and each box has y books.
Then A will have 1.6x boxes and each box will have 0.4y books each box.

So total books distributed will be xy+1.6x*0.4y=1.64xy.

So the answer should be a mulitiple of 1.64xy. Now we need to look at the answer choices. Start with the middle answer C.
1.64xy=4100...Multiply both sides by 100
164xy=410000....divide both sides by 41
4xy=10,000.....Divide both sides by 4
xy=2500.....Got it.

This is the right answer. If you check any other answer choice it will not give you integer if you divide that answer choice by 1.64.
I was more confident about C because 1.64 is a multiple of 41( if you divide 1.64 by small number 4 it will give you the hint).

I hope that helps.

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by [email protected] » Mon Oct 14, 2013 5:20 pm

Hi nakul17,

rakeshd347 provides an interesting algebra solution to this question. Here's an approach that TESTs values and involves a Number Property:

If...
Team B = 100 boxes
Team A = 160 boxes

And if....
Team B = 100 pamphlets/box
Team A = 40 pamphlets/box

Under these circumstances...
Team A = 40(160) = 6400 pamphlets
Team B = 100(100) = 10,000 pamphlets
Total = 16,400 pamphlets

Now, this answer (16,400) is NOT among the choices, but notice how it's exactly 4 times Answer C???

If you keep the number of boxes as is and change the number of pamphlets by dividing each number by 4....
Team B = 25 pamphlets/box
Team A = 10 pamphlets/box

Then...
Team A = 10(160) = 1600 pamphlets
Team B = 25(100) = 2500 pamphlets
Total = 4100 pamphlets

Final Answer: C

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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