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There are 120 televisions on display at an electronics

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Senior Manager
Joined: 02 Oct 2005
Posts: 297
There are 120 televisions on display at an electronics  [#permalink]

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29 Oct 2005, 09:06
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There are 120 televisions on display at an electronics
store. The number of televisions displaying sports programs
is 50% less than 4 times the number of televisions
displaying educational programs. 1/4 of the televisions are
displaying neither sports programs nor educational programs.
If all of the 120 televisions are displaying programs, how
many televisions are displaying sports programs?

A. 30
B. 24
C. 45
D. 40
E. 60
Current Student
Joined: 28 Dec 2004
Posts: 3357
Location: New York City
Schools: Wharton'11 HBS'12

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29 Oct 2005, 10:00
hmm lets see..1/4 are not show sp or ed. programs=30

so 120-30=90 that are showing ed+sp programs

now 1/2(4.Ed)=sp

Ed++2Ed=90 or Ed.=30, then Sp=2.Ed or 60

E
Manager
Joined: 01 Aug 2005
Posts: 68

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29 Oct 2005, 11:58
This one looked simple to me (almost too simple, I hope there isnt some catch).

Total sports + enducational = 90

50% less than 4 times = 2times.

So 2 times as many sports programs as educational programs.
Hence 60 sports and 30 educational.
Current Student
Joined: 23 Oct 2005
Posts: 243
Schools: Cranfield SOM

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29 Oct 2005, 13:52
sudhagar wrote:
There are 120 televisions on display at an electronics
store. The number of televisions displaying sports programs
is 50% less than 4 times the number of televisions
displaying educational programs. 1/4 of the televisions are
displaying neither sports programs nor educational programs.
If all of the 120 televisions are displaying programs, how
many televisions are displaying sports programs?

A. 30
B. 24
C. 45
D. 40
E. 60

Solving for this directly gives us 60 TVs showing sports. But what scares me is the part in bold.

but again solving for the numbers also gives 60 as the answer.
Senior Manager
Joined: 02 Oct 2005
Posts: 297

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29 Oct 2005, 15:33
OA is E and here is the detailed explanation:

S = number of TVs displaying sports programs
E = number of TVs displaying educational programs
O = number of TVs displaying other programs

S + E + O = 120

Since 1/4 of the televisions are displaying neither sports
programs nor educational program, O is 30. Thus,

S + E + 30 = 120
S + E = 90

Since the number of TVs displaying sports programs is 50%
less than 4 times the number of TVs displaying educational
programs, we can set up the following equation:

S = .50(4E)
S = 2E

Substituting the value of S into the previous equation:

2E + E = 90
3E = 90
E = 30

Substituting E into the equation S = 2E:

S = 2(30)
S = 60
29 Oct 2005, 15:33
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