Initially, the men and women in a room were in the ratio of 5:7. Six

Question

Initially, the men and women in a room were in the ratio of 4 : 5. Then, 2 men entered the room and 3 women left the room. Then, the number of women doubled.
Now there are 14 men in the room. How many women are currently in the room?

A. 12
B. 14
C. 15
D. 24
E. 36

Kudos for a correct solution.

A. 12
B. 14
C. 15
D. 24
E. 36

balamoon · Accepted Answer

Solution - 
Initially, 4X men and 5X women in the room ------> 4X:5X
After 2M entered and 3W left the room, new ratio-->(4X+2):(5X-3)

4X+2 = 14 ---> X=3.
After 3 women left the room -> 5X-3 = 5*3 - 3 = 12 women in the room.

After that, the  number of women doubled  = 12*2 = 24. 
ANS D

NickHalden · Answer

Still wondering, why does that piece of info exist : 
 Then, the number of women doubled.  ??

chetan2u · Answer

hi  NickHalden ,
the number of women doubled means that they have become 24 from 12..
and we have to tell the current strength so 24 is the answer..

let the number be 4x and 5x..
given 4x+2=14.. so x=3..
women number=5*3-3=12, then doubled=24..
ans D

mejia401 · Answer

Number of men, initially:  4x 
 4x + 2 =14 
 x=3

Number of women, initially:  5x 
 5(3)-3 = 12 
 12 * 2 = 24

D. 24

Thanks

karant · Answer

Let x be common multiplier

Initially, Total no of men in room = 4x and Total No of women in room = 5x

4x + 2 = 14
or,x= 3

So, currently no of women in the room = 5(3) - 3 
 = 12

Ans A

Bhuvaneshfly · Answer

guys sorry new to the forum, could anyone help me out in this question?

"X will get 10 more apples for $5 if its price decreases by 20%. How many apples will x get for $5 at the new price?"
 A)40
B)50
C)15
D)10

ENGRTOMBA2018 · Answer

Please follow the rules for posting: 11-rules-for-posting-133935.html For your question, assume that the original price per apple is A $/apple. In 5$ you can thus get = 5/A apples When you decrease the price by 20%, per apple price becomes 0.8A. IN 5$ now you can get = 5/0.8A apples As per the question, 5/0.8A - 5/A = 10, giving A = 0.125 or 1/8 $/apple The new price becomes = 0.8*0.125 = 0.1 Thus, number of apples = 5/0.1 = 50, B is the answer.

GMATinsight · Answer

Men / women = 4 / 5

i.e. Initially the Number of People was a Multiple of 9 i.e.  9x

2 men entered and 3 women left i.e. in total 1 person less in the room so  the total number of people in the room must be of the form  9x-1  before doubling the Number of Women

If Men = 14

A. 12  i.e. Total people in room before doubling the women = 14+(12/2) = 20 which is NOT of the form  9x-1  i.e. NOT a Possible Answer 
B. 14  i.e. Total people in room before doubling the women = 14+(14/2) = 21 which is NOT of the form  9x-1  i.e. NOT a Possible Answer 
C. 15  i.e. Total people in room before doubling the women = 14+(15/2) = 21.5 NOT of the form  9x-1  i.e. NOT a Possible Answer 
D. 24  i.e. Total people in room before doubling the women = 14+(24/2) = 26 which is of the form  9x-1  i.e. a Possible Answer 
E. 36  i.e. Total people in room before doubling the women = 14+(36/2) = 32 which is NOT of the form  9x-1  i.e. NOT a Possible Answer

Answer: option D

kanigmat011 · Answer

D is correct
4X men and 5X women in the room ------> 4X:5X
After 2M entered and 3W left the room, new ratio-->(4X+2):(5X-3)

4X+2 = 14 ---> X=3.
After 3 women left the room -> 5X-3 = 5*3 - 3 = 12 women in the room.

After that, the number of women doubled = 12*2 = 24.

Bunuel · Answer

MANHATTAN GMAT OFFICIAL SOLUTION: Use the Unknown Multiplier to solve this problem. Initially, there are 4x men in the room and 5x women. Then, follow the series of entrances and exits one-by-one to establish the number of men and women who are currently in the room, in terms of x. https://gmatclub.com/forum/download/file.php?id=27167 Men: 4x + 2 = 14 --> x = 3. The unknown multiplier is 3. Plug 3 in for x: Women: 2(5x - 3) = ? 2 =2(12) = 24 Answer: D. 2015-07-06_1737.png

jmwon · Answer

Solve for multiplier using the given final total number of Men (M) 14. --> 4x + 2 = 14 --> x = 3
Solve for the final total number of Women (W) by substituting the multiplier into the formula. --> (5x +3) * 2 = ? --> x = 24
Hence answer is D) 24

ligamenttears · Answer

I fail to understand how 4X + 2 = 14 is a correct equation. Shouldn't it be (4X/9) + 2 = 14?

I would rather not solve it this way. I agree with the following method ->

Men currently in the room = 14. Originally = 14 - 2 = 12

Original number of women in the room -> 4/5=12/W. W=15

Women currently in the room = 15 - 3 = 12. 12*2 = 24. Correct Answer is D.

Still not sure with ratios if we can separate equations from fractions.

Otherwise equation would be = (4x+2)/(5x-3)*2 = 14/W

PolarisTestPrep · Answer

Hey guys

This one is fairly straightforward. Don't get fooled by their word trickery

Just focus on the fact that now there are 14 men in the room

This is after 2 men came into the room

14 - 2 = 12

That means that initially, there were 12 men in the room

We are told that initially the ratio of men to women was 4:5

4:5 = 12:x

12 is 4 * 3 so multiply 5 * 3 as well to maintain the ratio

That means there were 15 women in the room

12:15 = 4:5

There were 15 women initially

Then 3 left

15 - 3 = 12

Then the number of women doubled

12 * 2 = 24

The answer is (D)

Renchinjav · Answer

I am confused when 3 women left lead the number of women doubled.

egmat · Answer

Hi Renchinjav,

The confusion is treating "3 women left" and "the number of women doubled" as one linked event. They aren't. They are  two separate things that happen one after another , in order. Read the story as a timeline and handle each step by itself.

Here is the sequence for the women, straight from the wording several posters used ( 5x  women to start):

-  Start:  women =  5x 
-  Then 3 women leave:  women =  5x − 3 
-  Then (a later, separate moment) the count doubles:  women =  2 × (5x − 3)

The men's line pins down x:  4x + 2 = 14 , so  x = 3 .

Now just walk the women's timeline with x =  3 :

- Start: 5 × 3 =  15 
- After  3  leave: 15 - 3 =  12 
- After doubling: 12 × 2 =  24

So the doubling doesn't come  from  the  3  leaving - it's simply the  next  event in the story (imagine that many new women then walk in, matching the current group). You apply it  after  you've already subtracted the  3 . That's why the answer is  24 (D) , not  12 .

Quick way to lock in the habit:  whenever a problem says "Then... then... then...," process the changes strictly left to right, one at a time, and never merge two of them. Try this mini-version: a shelf has  6  books, then  2  are removed, then the count triples. How many now? Do it in order:  6  →  4  →  12 . Same skill - each "then" is its own step.

Answer: D

Initially, the men and women in a room were in the ratio of 5:7. Six

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Initially, the men and women in a room were in the ratio of 5:7. Six

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