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A certain company divides its total advertising budget into

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Intern
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Joined: 12 Jul 2007
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A certain company divides its total advertising budget into [#permalink]

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New post 17 Sep 2007, 07:26
2
7
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

74% (00:43) correct 26% (00:49) wrong based on 308 sessions

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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.
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 [#permalink]

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New post 17 Sep 2007, 09:17
5
1
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]

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New post 17 Sep 2007, 09:31
1
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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Posts: 2495
Re: DS ratios [#permalink]

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New post 17 Sep 2007, 12:45
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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A certain company divides its total advertising budget into [#permalink]

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New post 11 Sep 2017, 07:36
Hi GMATters,

Here's my video explanation of this problem:




Enjoy!

Rowan
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A certain company divides its total advertising budget into   [#permalink] 11 Sep 2017, 07:36
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