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The ratio of males to females at an event is 5 to 3. If 39 females

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The ratio of males to females at an event is 5 to 3. If 39 females  [#permalink]

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New post 04 May 2017, 02:34
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Re: The ratio of males to females at an event is 5 to 3. If 39 females  [#permalink]

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New post 04 May 2017, 05:05
Top Contributor
Bunuel wrote:
The ratio of males to females at an event is 5 to 3. If 39 females are at the event, how many people are at the event?

A. 104
B. 65
C. 39
D. 26
E. 13


This is an equivalent ratios question

The ratio is in the form males/females
Let M = # of males at the event

So, we get: 5/3 = M/39
Cross multiply to get: (3)(M) = (5)(39)
Divide both sides by 3 to get: M = (5)(39)/3 = 65
So, there are 65 males at the event

How many people are at the event?
Total number of people = 39 females + 65 males = 104

Answer:

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Re: The ratio of males to females at an event is 5 to 3. If 39 females  [#permalink]

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New post 04 May 2017, 05:10
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Top Contributor
Bunuel wrote:
The ratio of males to females at an event is 5 to 3. If 39 females are at the event, how many people are at the event?

A. 104
B. 65
C. 39
D. 26
E. 13


Another approach:

The ratio of males to females at an event is 5 to 3
NOTE: the number of males and females must be INTEGERS

So, there could be 5 males and 3 males (for a total of 8 people)
Or there could be 10 males and 6 males (for a total of 16 people)
Or there could be 15 males and 9 males (for a total of 24 people)
etc...

Notice that the total number of people is always a multiple of 8
Check the answer choices... only one answer choice (A) is a multiple of 8, so A must be the correct answer.

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Brent
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Re: The ratio of males to females at an event is 5 to 3. If 39 females  [#permalink]

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New post 04 May 2017, 06:13
Males to Females are in a ratio of is 5:3 of total number

so 3/5(X)=39
upon simplification
x=13*8=108
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Re: The ratio of males to females at an event is 5 to 3. If 39 females  [#permalink]

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New post 04 May 2017, 08:24
Bunuel wrote:
The ratio of males to females at an event is 5 to 3. If 39 females are at the event, how many people are at the event?

A. 104
B. 65
C. 39
D. 26
E. 13


3x = 39

Or, x = 13

So, Number of people present is ( 5 + 3 )*13 = 104 people...

Thus, answer must be (A) 104
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Re: The ratio of males to females at an event is 5 to 3. If 39 females  [#permalink]

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New post 06 May 2017, 16:56
Bunuel wrote:
The ratio of males to females at an event is 5 to 3. If 39 females are at the event, how many people are at the event?

A. 104
B. 65
C. 39
D. 26
E. 13


We are given that the ratio of males to females is 5 to 3. Thus:

males : females = 5x : 3x

Since there are 39 females at the event:

3x = 39

x = 13

Thus, there are 5 x 13 = 65 males and a total of 65 + 39 = 104 people at the event.

Answer: A
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Re: The ratio of males to females at an event is 5 to 3. If 39 females  [#permalink]

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New post 18 May 2017, 03:07
let x be total number of people
hence number of females = 3x/8 = 39
solving for x => x=104

Hence A is the Correct option.
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Re: The ratio of males to females at an event is 5 to 3. If 39 females  [#permalink]

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New post 04 Jul 2018, 16:55
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The ratio of males to females at an event is 5 to 3. If 39 females &nbs [#permalink] 04 Jul 2018, 16:55
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