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The ratio of spinsters to cats is 2 to 7. If there are 25 more cats th

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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 21566

The ratio of spinsters to cats is 2 to 7. If there are 25 more cats th [#permalink]

03 Feb 2021, 06:23

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The ratio of spinsters to cats is 2 to 7. If there are 25 more cats than spinsters, how many spinsters are there?

A. 10
B. 12
C. 15
D. 18
E. 27

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GreenlightTestPrep

GRE Instructor

Joined: 10 Apr 2015

Posts: 6038

Re: The ratio of spinsters to cats is 2 to 7. If there are 25 more cats th [#permalink]

03 Feb 2021, 07:21

Expert Reply

Carcass wrote:

The ratio of spinsters to cats is 2 to 7. If there are 25 more cats than spinsters, how many spinsters are there?

A. 10
B. 12
C. 15
D. 18
E. 27

Kudos for the right answer and explanation

A quick and easy option is to list equivalent ratios

GIVEN: The ratio of spinsters to cats is 2 to 7
So, it's possible that there are 2 spinsters and 7 cats [difference = 7 - 2 = 5.....we need a difference of 25]
It's also possible that there are 4 spinsters and 14 cats [difference = 14 - 4 = 10.....we need a difference of 25]
Or there are 6 spinsters and 21 cats [difference = 15.....we need a difference of 25]
Or there are 8 spinsters and 28 cats [difference = 20.....we need a difference of 25]
Or there are 10 spinsters and 35 cats [difference = 25.... BINGO!!!]

So, there are 10 spinsters
Answer: A

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