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by jcnissi » Sat Jun 12, 2010 10:56 pm
Please help me solve this:

Of the 100 pet owners who respond to a survey, 50 own cats, 42 own dogs, and 7 own both. How many respondents own neither a cat nor a dog?

a. 7
b. 8
c. 10
d. 12
e. 15
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by gmatmachoman » Sat Jun 12, 2010 11:12 pm
jcnissi wrote:Please help me solve this:

Of the 100 pet owners who respond to a survey, 50 own cats, 42 own dogs, and 7 own both. How many respondents own neither a cat nor a dog?

a. 7
b. 8
c. 10
d. 12
e. 15
P (AUB) = P(A) + p(B) - P(AnB)
= 50 +42 -7
=85
Total = p(AUB) + Neither of( A or B)

100 = 85 + Neither of( A or B)

Neither of( A or B)
= 15

Pick[spoiler] E[spoiler[/spoiler]][/spoiler]
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by Stuart@KaplanGMAT » Sat Jun 12, 2010 11:45 pm
jcnissi wrote:Please help me solve this:

Of the 100 pet owners who respond to a survey, 50 own cats, 42 own dogs, and 7 own both. How many respondents own neither a cat nor a dog?

a. 7
b. 8
c. 10
d. 12
e. 15
In words rather than symbols:

True # of items = (total # in group 1) + (total # in group 2) + (# in neither) - (# in both groups)

or, more simply:

True # = G1 + G2 + neither - both

In this question:

True # = 100
Cats = 50
Dogs = 42
Both = 7

So:

100 = 50 + 42 + neither - 7

100 = 85 + neither

15 = neither... choose (E).
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by outreach » Sun Jun 13, 2010 1:05 am
total=100
c=50
d=42
c and d=7

only c=50-7=43
only d=35

total people who own animals= 43+35+7=85
people who do not own animals=100-85=15
E
jcnissi wrote:Please help me solve this:

Of the 100 pet owners who respond to a survey, 50 own cats, 42 own dogs, and 7 own both. How many respondents own neither a cat nor a dog?

a. 7
b. 8
c. 10
d. 12
e. 15
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by Scott@TargetTestPrep » Sat Nov 03, 2018 4:47 pm
jcnissi wrote:Please help me solve this:

Of the 100 pet owners who respond to a survey, 50 own cats, 42 own dogs, and 7 own both. How many respondents own neither a cat nor a dog?

a. 7
b. 8
c. 10
d. 12
e. 15
We can create the equation:

Total = cat owners + dog owners - both + neither

100 = 50 + 42 - 7 + n

100 = 85 + n

15 = n

Answer: E

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