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There are 4 more women than there are men on a local co-ed softball te

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Bunuel
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There are 4 more women than there are men on a local co-ed softball te [#permalink] New post  16 Mar 2016, 10:24
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There are 4 more women than there are men on a local co-ed softball team. If there are a total of 16 players on the team, what is the ratio of men to women?

A) 10/16
B) 6/16
C) 4/16
D) 6/10
E) 4/10
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nipunjain14
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Re: There are 4 more women than there are men on a local co-ed softball te [#permalink] New post  17 Mar 2016, 20:20
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w = m+4
w+m = 16
m+4+m = 16
2m = 12
m = 6
w = 10

ratio:6:10
Ans: D
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vikasx
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Re: There are 4 more women than there are men on a local co-ed softball te [#permalink] New post  31 Jan 2017, 02:54
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What if we look at the answer choices and check which one of these options suits both the conditions:
i.) m +w = 16
ii.) m = (w-4)

A) 10/16 - does not suffice both conditions.
B) 6/16 - does not suffice both conditions.
C) 4/16 - does not suffice both conditions.
D) 6/10 - suffices both conditions.
E) 4/10 - does not suffice both conditions.

Let me know if there is a flaw.
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nagesh.dce2k
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Re: There are 4 more women than there are men on a local co-ed softball te [#permalink] New post  31 Jan 2017, 10:37
vikasx wrote:
What if we look at the answer choices and check which one of these options suits both the conditions:
i.) m +w = 16
ii.) m = (w-4)

A) 10/16 - does not suffice both conditions.
B) 6/16 - does not suffice both conditions.
C) 4/16 - does not suffice both conditions.
D) 6/10 - suffices both conditions.
E) 4/10 - does not suffice both conditions.

Let me know if there is a flaw.


This way 3/5 doesn't follow any of your mentioned conditions, still if given in options it would have been the right answer.
Ratios cant be trusted to follow the equations of the actual numbers of Men and Women they represent
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JeffTargetTestPrep
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Re: There are 4 more women than there are men on a local co-ed softball te [#permalink] New post  02 Feb 2017, 11:19
Expert Reply
Bunuel wrote:
There are 4 more women than there are men on a local co-ed softball team. If there are a total of 16 players on the team, what is the ratio of men to women?

A) 10/16
B) 6/16
C) 4/16
D) 6/10
E) 4/10


We can let the number of women on the team = w and the number of men = m. Since there are 4 more men than women and a total of 16 players, we can create the following two equations:

1) w = m + 4

2) m + w = 16

Since m + 4 = w, we can substitute m + 4 for w in the equation m + w = 16 and we have:

m + m + 4 = 16

2m = 12

m = 6

Since there are 6 men, there are 16 - 6 = 10 women, and thus the ratio of men to women is 6/10.

Answer: D
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sjavvadi
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Re: There are 4 more women than there are men on a local co-ed softball te [#permalink] New post  02 Feb 2017, 11:27
W = M+4
Add M on both sides=> M+W = 2M+4
M+W is given to be 16 => 16 = 2M+4=>M=6
Therefore W = 10
M/W = 6/10
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mimajit
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Re: There are 4 more women than there are men on a local co-ed softball te [#permalink] New post  03 Oct 2019, 02:57
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Bunuel wrote:
There are 4 more women than there are men on a local co-ed softball team. If there are a total of 16 players on the team, what is the ratio of men to women?

A) 10/16
B) 6/16
C) 4/16
D) 6/10
E) 4/10


This is how i solved

Let the no of men be x and women = 4 more than men so X + 4

We know X + X+4 = 16
Solve for Xie 2x = 12 x =6

So men in the team is X ie 6 and women = 16 -6 = 10

Ratio of men to women = 6 / 10 ans D
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Re: There are 4 more women than there are men on a local co-ed softball te [#permalink] New post  23 Dec 2022, 11:52
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Re: There are 4 more women than there are men on a local co-ed softball te [#permalink]
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