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A certain company divides its total advertising budget into

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A certain company divides its total advertising budget into [#permalink] New post 17 Sep 2007, 06:26
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  25% (medium)

Question Stats:

80% (01:40) correct 20% (00:33) wrong based on 47 sessions
A certain company divides its total advertising budget into television, radio, newspaper, and magazine budgets in the ratio of 8:7:3:2 respectively. How many dollars are in the radio budget?

(1) The television budget is $18,750 more than the newspaper budget

(2) The magazine budget is $7,500.
[Reveal] Spoiler: OA
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Senior Manager
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 [#permalink] New post 17 Sep 2007, 08:17
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D.
Budget=8x+7x+3x+2x U need to know X.
1) 8x=18750+3x , so Suff
2) 2x=7500, so Suff too.
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 [#permalink] New post 17 Sep 2007, 08:31
television ---> 8
radio ---> 7
newspaper ---> 3
magazine ---> 2

statement 1

television ---> 8 ---> 18,750+x or (x/3)*8
radio ---> 7 ---> (x/3)*7
newspaper ---> 3 ---> x
magazine ---> 2 ---> (x/3)*2

from that we can conclude that:

18,750+x = (x/3)*8

18,750*3+3*x = 8*x

(18,750*3)/5 = x

x = 11,250

radio ---> (x/3)*7 = 26,250

sufficient

statement 2

television ---> 8 ---> (7500/2)*8
radio ---> 7 ---> (7500/2)*7
newspaper ---> 3 ---> (7,500/2)*3
magazine ---> 2 ---> 7500/2

can be solved !

radio ---> (7500/2)*7 = 26,250

sufficient

the answer is (D)

:)
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Re: DS ratios [#permalink] New post 17 Sep 2007, 11:45
combres wrote:
A certain company divides its total advertising budget into television, radio, newspaper, and magazine budgets in the ratio of 8:7:3:2 respectively. How many dollars are in the radio budget?

1) The television budget is $18,750 more than the newspaper budget

2) The magazine budget is $7,500.



S1.

8/3=x+18750/x ---> 8x=3x+56250 5x=56250 x=11250

7*11250/3 =26250

S2: 2x=7500
x=3750. 3750/2*7=26250.


Ans D.
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Re: A certain company divides its total advertising budget into [#permalink] New post 27 Jan 2014, 13:34
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Re: A certain company divides its total advertising budget into   [#permalink] 27 Jan 2014, 13:34
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