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The table above gives the type and number of pets owned by a group of

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The table above gives the type and number of pets owned by a group of  [#permalink]

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New post 24 Dec 2018, 11:02
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The table above gives the type and number of pets owned by a group of 48 households that own only cats and dogs. If the ratio of the total number of cats to the total number of dogs is 5 : 3, how many dogs are there?

A. 18
B. 24
C. 30
D. 36
E. 48

Source: Kaplan GMAT Math Workbook - Sixth Edition
Page# 308

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Re: The table above gives the type and number of pets owned by a group of  [#permalink]

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New post Updated on: 27 Dec 2018, 23:11
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SajjadAhmad wrote:
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The table above gives the type and number of pets owned by a group of 48 households that own only cats and dogs. If the ratio of the total number of cats to the total number of dogs is 5 : 3, how many dogs are there?

A. 18
B. 24
C. 30
D. 36
E. 48

Source: Kaplan GMAT Math Workbook - Sixth Edition
Page# 308


Dogs only house-16,Avg Pet:1.5 ,Dogs=16*1.5 =24
Cats only house -24,Avg Pet:1.25,Cats=24*1.25=30
Both -8 ,Avg Pet:3.25,Both=8*3.25 =26
Total Pets=24+30+26=80

Ratio =5/3
It is numerical problem ,i used substitution based on options:
A.If 18 dogs,cats=30 .so total =48 ,not satisfied.
B.24 dogs,cats=40 ,not satisfied
C.30 dogs,50 cats,Satisfied.
Ans.C

Originally posted by StudiosTom on 24 Dec 2018, 11:21.
Last edited by StudiosTom on 27 Dec 2018, 23:11, edited 1 time in total.
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The table above gives the type and number of pets owned by a group of  [#permalink]

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New post Updated on: 28 Dec 2018, 05:11
48 is the total number of houses with pets not the total number of dogs and cats. OA should be C

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Originally posted by Kem12 on 27 Dec 2018, 22:10.
Last edited by Kem12 on 28 Dec 2018, 05:11, edited 1 time in total.
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Re: The table above gives the type and number of pets owned by a group of  [#permalink]

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New post 27 Dec 2018, 23:06
First calculate total number of pets: (16×1.5)+(24×1.25)+(8×3.25)= 80 total pets. Cat to dog ratio is 5:3 so 3/8ths of pets must be dogs. 3/8*80=30. IMO OA should be C

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Re: The table above gives the type and number of pets owned by a group of  [#permalink]

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New post 07 Apr 2020, 13:47
B = B* + ANB
B = 16(1.5) + 8(3.25)
B = 50

A = A* + ANB
A = 24(1.25) + 8(3.25)
A = 56

Total = A + B - ANB
Total = 56+50-26
Total = 80

80 = 5x+3x
80=8x
10=x

dogs = 3x = 3(10) = 30
C
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Re: The table above gives the type and number of pets owned by a group of   [#permalink] 07 Apr 2020, 13:47

The table above gives the type and number of pets owned by a group of

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