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# At a certain pet shop, 1/3 of pets are dogs and 1/5 of pets

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Director
Joined: 24 Oct 2005
Posts: 660
Location: London
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At a certain pet shop, 1/3 of pets are dogs and 1/5 of pets [#permalink]  22 May 2006, 06:14
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At a certain pet shop, 1/3 of pets are dogs and 1/5 of pets are birds. How many pets are dogs?

1. There are 30 birds in the pet shop.
2. There are 20 more dogs than birds in the pet shop
Manager
Joined: 11 Oct 2005
Posts: 94
Followers: 1

Kudos [?]: 4 [0], given: 0

I am getting D

Let d = #of dogs
Let b = #of birds
Let p = pets

From question stem we know

p/3 = d and p/5 = b so 3d = 5b

I. 30 birds in the shop, means there are 150 pets hence the number of dogs can be determined which is 50 [sufficient]

II. d = 20 + b

Form question 3(20+b) = 5b

so b = 30, hence # of dogs can again be determined as 50 [sufficient]

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5068
Location: Singapore
Followers: 23

Kudos [?]: 194 [0], given: 0

Total # of pets = x
# of dogs = x/3
# of birds = x/5

St1:
x/5 = 30 --> we can solve for x/3. Sufficient.

St2:
x/3 - x/5 = 20 --> we can sovle for x/3. Sufficient.

Ans D
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Joined: 30 Mar 2006
Posts: 1737
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Kudos [?]: 46 [0], given: 0

D

1) 30 birds . say there are x pets.
1/5 * X = 30 => x = 150
Dogs = 1/3 * 150 = 50

2) B + 20 = D
=> 1/5*x +20 = 1/3*X
=> x=150

D = 1/3*150 = 50
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