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patrickpui
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the source of this is PR. This looks relatively okay but I 05 Apr 2005, 14:26
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the source of this is PR. This looks relatively okay but I had problem applying/solving this. Please explain in details

In an East Side building housing 250 recent college grads, 114 people watch ESPN first thing in the morning, and 108 watch Lifetime. If there are three times as many people who watch neither network as there are people who (inexplicably) watch some of both ESPN and Lifetime each morning. how many people watch neither?

a) 28
b) 42
c) 68
d) 108
e) 114



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banerjeea_98
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the source of this is PR. This looks relatively okay but I 05 Apr 2005, 17:26
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"B"

If X is both then 3X is neither

114-X + 108 - X + X +3X = 250

X = 14
3X = 42
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patrickpui
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the source of this is PR. This looks relatively okay but I 06 Apr 2005, 14:04
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normally, the formula for this type of question is such

Group 1 + Group 2 - Common Group + Neither Group or

114-X + 108 - X - X +3X = 250

Can someone explain banerjeea_98 usage?
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gmat2me2
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the source of this is PR. This looks relatively okay but I 06 Apr 2005, 16:07
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patrickpui
normally, the formula for this type of question is such

Group 1 + Group 2 - Common Group + Neither Group or

114-X + 108 - X - X +3X = 250

Can someone explain banerjeea_98 usage?
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The 2 sets include the neither cases in them So Baner has deleted them and added one X.
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MA
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the source of this is PR. This looks relatively okay but I 06 Apr 2005, 18:44
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patrickpui
normally, the formula for this type of question is such
Group 1 + Group 2 - Common Group + Neither Group or
114-X + 108 - X - X +3X = 250. Can someone explain banerjeea_98 usage?
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There is nothing diff bet your's and banerjees's formulae. after simplification, you both have the same algebraic expression.
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ssap
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the source of this is PR. This looks relatively okay but I 06 Apr 2005, 19:17
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patrickpui
normally, the formula for this type of question is such

Group 1 + Group 2 - Common Group + Neither Group or

114-X + 108 - X - X +3X = 250

Can someone explain banerjeea_98 usage?
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The total no of students shld equal :
Those who watch only ESPN + those who watch only Lifetime + those who watch both + those who watch neither.
Assume x = no of students who watch both
=> (114 -x) + (108 - x) + x + 3x = 250

In your expression 114-X + 108 - X - X +3X = 250
you are subtracting those who watch both (instead of adding to get the total)
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ssap
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the source of this is PR. This looks relatively okay but I 06 Apr 2005, 19:17
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patrickpui
normally, the formula for this type of question is such

Group 1 + Group 2 - Common Group + Neither Group or

114-X + 108 - X - X +3X = 250

Can someone explain banerjeea_98 usage?
Show more



The total no of students shld equal :
Those who watch only ESPN + those who watch only Lifetime + those who watch both + those who watch neither.
Assume x = no of students who watch both
=> (114 -x) + (108 - x) + x + 3x = 250

In your expression 114-X + 108 - X - X +3X = 250
you are subtracting those who watch both (instead of adding to get the total)
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ywilfred
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the source of this is PR. This looks relatively okay but I 06 Apr 2005, 19:27
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ssap
patrickpui
normally, the formula for this type of question is such

Group 1 + Group 2 - Common Group + Neither Group or

114-X + 108 - X - X +3X = 250

Can someone explain banerjeea_98 usage?


The total no of students shld equal :
Those who watch only ESPN + those who watch only Lifetime + those who watch both + those who watch neither.
Assume x = no of students who watch both
=> (114 -x) + (108 - x) + x + 3x = 250

In your expression 114-X + 108 - X - X +3X = 250
you are subtracting those who watch both (instead of adding to get the total)
Show more


Hope this helps. :-D
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Folaa3
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the source of this is PR. This looks relatively okay but I 06 Apr 2005, 19:46
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I used venn diagrams and i got 42
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ywilfred
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the source of this is PR. This looks relatively okay but I 06 Apr 2005, 20:00
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Folaa3
I used venn diagrams and i got 42
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A venn diagram would work here because we're only invovled in 2 overlapping sets. But if the overlapping extends to 3, the table method is best. Trust me, I've experimented with Venn Diagrams for 3 overlapping sets and they give you hell :-D
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HongHu
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the source of this is PR. This looks relatively okay but I 07 Apr 2005, 10:26
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Alternative approach for people who feel venn diagram is too confusing:

E+EL=114
L+EL=108
NEL=3EL
E+L+EL+NEL=250
E+L+2EL=222
E+L+4EL=250
2EL=28
EL=14
NEL=42

(b)



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!