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In a group of adults, the ratio of women to men is 5 to 6, w

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In a group of adults, the ratio of women to men is 5 to 6, w [#permalink] New post 19 Aug 2018, 02:59
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In a group of adults, the ratio of women to men is 5 to 6, while the ratio of left-handed people to righthanded people is 7 to 9. Everyone is either left- or right-handed; no one is both.

Quantity A
Quantity B
The number of women in the group
The number of left-handed people in the group


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: In a group of adults, the ratio of women to men is 5 to 6, w [#permalink] New post 20 Aug 2018, 23:33
Any explanation for the same?
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Re: In a group of adults, the ratio of women to men is 5 to 6, w [#permalink] New post 08 Sep 2018, 06:57
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Let us assume there are x numbers of people.
Since this is divided between women and men in the ratio of 5/6 we know that there were x/11 * 5 women.

Similarly, if x number of people are divided into left handed over right handed we have x/16 * 7 left handed people.

since x is a +ve number 5/11 > 7/16
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Re: In a group of adults, the ratio of women to men is 5 to 6, w [#permalink] New post 10 Jul 2019, 09:17
sandy wrote:
In a group of adults, the ratio of women to men is 5 to 6, while the ratio of left-handed people to righthanded people is 7 to 9. Everyone is either left- or right-handed; no one is both.

Quantity A
Quantity B
The number of women in the group
The number of left-handed people in the group


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



The easy way:

w:m= 5:6 total= 11, so only women 5:11,

and left-handed people to right-handed people are 7 to 9. total 16, so only left-handed 7:16.

Now the main calculation, Just divide them, man :)

Bigger (\(\frac{5}{11}\)) > Smaller (\(\frac{7}{16}\)).
SO A IS ANSWER.

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Re: In a group of adults, the ratio of women to men is 5 to 6, w [#permalink] New post 10 Jul 2019, 09:34
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sandy wrote:
In a group of adults, the ratio of women to men is 5 to 6, while the ratio of left-handed people to right-handed people is 7 to 9. Everyone is either left- or right-handed; no one is both.

Quantity A
Quantity B
The number of women in the group
The number of left-handed people in the group



The ratio of women to men is 5 to 6
So, out of every 11 people, 5 are women and 6 are men.
So, 5/11 of the people are women (and 6/11 of the people are men)
If T = the TOTAL number of people, then \(\frac{5}{11}T=\) the number of women in the group


The ratio of left-handed people to right-handed people is 7 to 9
So, out of every 16 people, 7 are left-handed and 9 are right-handed.
In other words, 7/16 of the people are are left-handed (and 9/16 of the people are are right-handed)
If T = the TOTAL number of people, then \(\frac{7}{16}T=\) the number of left-handed people in the group

We get:
Quantity A: \(\frac{5}{11}T\)
Quantity B: \(\frac{7}{16}T\)

Since we know T is POSITIVE, we can safely divide both quantities by T to get:
Quantity A: \(\frac{5}{11}\)
Quantity B: \(\frac{7}{16}\)

At this point, it's probably easiest to convert each fraction to a decimal to get:
Quantity A: ≈ 0.45
Quantity B: ≈ 0.44

Answer: A

Cheers,
Brent
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Re: In a group of adults, the ratio of women to men is 5 to 6, w   [#permalink] 10 Jul 2019, 09:34
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