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# A total of 30 percent of the geese included in a certain

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A total of 30 percent of the geese included in a certain [#permalink]

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05 Jan 2011, 18:45
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A total of 30 percent of the geese included in a certain migration study were male. If some of the geese migrated during the study and 20 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [Migration rate for geese of a certain sex = (number of geese of that sex migrating) / (total number of geese of that sex)]

A. 1/4
B. 7/12
C. 2/3
D. 7/8
E. 8/7
[Reveal] Spoiler: OA

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Last edited by Bunuel on 07 Oct 2013, 01:29, edited 1 time in total.
Edited the OA.

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Re: A total of 30 percent of the geese [#permalink]

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05 Jan 2011, 23:05
Let there be 100 geese.
Out of these since there were 30% male then there were 70 females,
let the number of migrating birds be X, out of the ones migrating 20% were males so .8x where females.
so, 7/8 (D)

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Re: A total of 30 percent of the geese [#permalink]

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06 Jan 2011, 00:24
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ajit257 wrote:
A total of 30 percent of the geese included in a certain migration study were male. If
some of the geese migrated during the study and 20 percent of the migrating geese were
male, what was the ratio of the migration rate for the male geese to the migration rate for
the female geese?
[Migration rate for geese of a certain sex = (number of geese of that sex migrating) /
(total number of geese of that sex)]

A. 1/4
B. 7/12
C. 2/3
D. 7/8
E. 8/7

Let there be g geese, of which 0.3g are male and 0.7g are female
Lets say m geese migrated, 0.2m are male and 0.8m are female

Migration Rate Male = 0.2m / 0.3g = (2/3)*(m/g)
Migration Rate Female = 0.8m / 0.7g = (8/7)*(m/g)

Ratio of migration rates = (2/3) / (8/7) = 7/12

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Re: A total of 30 percent of the geese [#permalink]

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06 Jan 2011, 00:49
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Let' take the Number of geese to be 100.

Male = 30. Female = 70.

Now the second part of the Q, Let's take the Number migrated to be 20.

So we have 20 geese that migrated and out of that 20% are male i.e 20/100 *20 = 4 Geese (Males)

And now we know out of the total 20 geese , 4 are male , then 16 have to be female.

Now the ratio part , Male Geese Ratios = 4/30 = 2/15. - A

Female Geese Ratios =16/70=8/35 - B

Cross Multiply Equations A and B and you get =7/12 .

Ans B

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Re: A total of 30 percent of the geese [#permalink]

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07 Oct 2013, 01:23
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Re: A total of 30 percent of the geese [#permalink]

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07 Oct 2013, 01:25
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Last edited by accincognito on 31 Oct 2013, 05:40, edited 1 time in total.

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Re: A total of 30 percent of the geese [#permalink]

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07 Oct 2013, 01:30
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Edited the OA. Thank you.
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Re: A total of 30 percent of the geese [#permalink]

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07 Oct 2013, 05:54
DaVagabond wrote:
Let' take the Number of geese to be 100.

Male = 30. Female = 70.

Now the second part of the Q, Let's take the Number migrated to be 20.

So we have 20 geese that migrated and out of that 20% are male i.e 20/100 *20 = 4 Geese (Males)

And now we know out of the total 20 geese , 4 are male , then 16 have to be female.

Now the ratio part , Male Geese Ratios = 4/30 = 2/15. - A

Female Geese Ratios =16/70=8/35 - B

Cross Multiply Equations A and B and you get =7/12 .

Ans B

Hi all,

i too tried the same method and its taking more than 3 Mins.

Please tell if there is any fast solution method.

Regards,
Rrsnathan

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Re: A total of 30 percent of the geese [#permalink]

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08 Oct 2013, 08:53
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rrsnathan wrote:
DaVagabond wrote:
Let' take the Number of geese to be 100.

Male = 30. Female = 70.

Now the second part of the Q, Let's take the Number migrated to be 20.

So we have 20 geese that migrated and out of that 20% are male i.e 20/100 *20 = 4 Geese (Males)

And now we know out of the total 20 geese , 4 are male , then 16 have to be female.

Now the ratio part , Male Geese Ratios = 4/30 = 2/15. - A

Female Geese Ratios =16/70=8/35 - B

Cross Multiply Equations A and B and you get =7/12 .

Ans B

Hi all,

i too tried the same method and its taking more than 3 Mins.

Please tell if there is any fast solution method.

Regards,
Rrsnathan

say 100 are geese.. 30% means 30 are male and 70 are female.

Now x geese migrates,
Therefore $$\frac{x}{5}$$ are male (since 20% of migrating geeses are male) and hence $$\frac{4x}{5}$$ are female

Therefore $$\frac{Migration rate male}{Migration rate female}$$ = {(x/5)/30} / {(4x/5)/70}

Solving we get, 7/12 as answer.

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Re: A total of 30 percent of the geese included in a certain [#permalink]

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26 Nov 2014, 13:06
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Re: A total of 30 percent of the geese included in a certain [#permalink]

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29 Jan 2016, 23:54
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Re: A total of 30 percent of the geese included in a certain [#permalink]

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01 Jun 2016, 17:57
If we use the formula they give us

Isnt the migration rate the following:

Males = # geese migrating / total # of geese in sex = 0.2 (0.3x) / 0.3
Females = 0.8 * 0.7 / 0.7

Can someone help please explain why it is not the above?

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Re: A total of 30 percent of the geese included in a certain [#permalink]

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01 Jun 2016, 23:13
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rjivani wrote:
If we use the formula they give us

Isnt the migration rate the following:

Males = # geese migrating / total # of geese in sex = 0.2 (0.3x) / 0.3
Females = 0.8 * 0.7 / 0.7

Can someone help please explain why it is not the above?

0.2 * (0.3x) is a problem. The questions says that 20% of the geese migrating were males. It doesn't say that 20% of males migrated.

Sp if there were 100 geese in all, 30 were males. The question does NOT say that 20% of these 30 migrated.

Say, if half the total geese migrated, 50 migrated. Out of these 50, 20% were male i.e. 10 were male.

SO we need to take 20% of migrated geese, not the 20% of male population.

Does this sort out your problem?
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Re: A total of 30 percent of the geese included in a certain [#permalink]

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23 Mar 2017, 19:45
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Taking 100 as the number of geese in the study, 30 are male and 70 are female. Setting the number of geese that migrate as 5x, the number of male geese migrating is x (20%), and the number of female geese migrating is 4x (80%).

Ratio = (x/30)/(4x/70) = 70x/120x = 7/12

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Re: A total of 30 percent of the geese included in a certain [#permalink]

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27 Mar 2017, 17:28
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ajit257 wrote:
A total of 30 percent of the geese included in a certain migration study were male. If some of the geese migrated during the study and 20 percent of the migrating geese were male, what was the ratio of the migration rate for the male geese to the migration rate for the female geese? [Migration rate for geese of a certain sex = (number of geese of that sex migrating) / (total number of geese of that sex)]

A. 1/4
B. 7/12
C. 2/3
D. 7/8
E. 8/7

We can let t = the total number of geese before migration; thus, the number of male geese = 0.3t and the number of female geese = 0.7t. If we let the number of migrating geese = m, then the number of male migrating geese = 0.2m and the number of female migrating geese = 0.8m.

Thus, the migration rate for the male geese is 0.2m/0.3t = 2m/3t and the migration rate for the female geese is 0.8m/0.7t = 8m/7t.

Thus, the ratio of male migration rate to female migration rate is:

(2m/3t)/(8m/7t) = (7t x 2m)/(3t x 8m) = (14mt)/(24mt) = 14/24 = 7/12.

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Re: A total of 30 percent of the geese included in a certain   [#permalink] 27 Mar 2017, 17:28
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