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

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VP
Joined: 26 Apr 2004
Posts: 1225
Location: Taiwan
Followers: 2

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A total of 30 percent of the geese included in a certain [#permalink]  04 Jan 2005, 09:19
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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
Manager
Joined: 29 Jul 2004
Posts: 61
Followers: 1

Kudos [?]: 0 [0], given: 0

I made a chart in order to solve this problem

G G' T

M .2x 30

F .8x 70

T x 100

The ratio is:

male geese migrating/total male geese
/female geese migrating/total female geese

=(.2x/30)/*(.8x/70)

=(.1x/15)*(70/.8x)=7/12

B
Intern
Joined: 06 Dec 2004
Posts: 20
Location: Lebanon
Followers: 0

Kudos [?]: 1 [0], given: 0

PS0814 [#permalink]  04 Jan 2005, 11:07
I agree B

Let x be the number of geese
Male geese = 0.3x
Female geese = 0.7x

Let m be the number migrated
Male migrated = 0.2m
Female migrated = 0.8m

(0.2m/0.3x) / (0.8m/0.7x) = 7/12

Regards - Joe
Director
Joined: 07 Jun 2004
Posts: 614
Location: PA
Followers: 3

Kudos [?]: 319 [0], given: 22

since its all in percent i took numbers

100 geese 30 Male

so 70 female

let us say 50 migrated

so 50*.2 = 10 male 40 female

ratio = 10/30 / 40/70 = 7 / 12

B
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