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Carol spends 1/4 of her savings on a stereo and 1/3 less than she spen

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Math Expert
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Joined: 02 Sep 2009
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Carol spends 1/4 of her savings on a stereo and 1/3 less than she spen  [#permalink]

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New post 12 Dec 2015, 09:11
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (01:35) correct 24% (02:08) wrong based on 144 sessions

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Retired Moderator
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Re: Carol spends 1/4 of her savings on a stereo and 1/3 less than she spen  [#permalink]

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New post 12 Dec 2015, 23:56
1
Total Savings = S
Amount spent on stereo = (1/4)S
Amount spent on television = (1-1/3)(1/4)S = (2/3)*(1/4)*S = (1/6)S

(Stereo + TV)/Total Savings = S(1/4 + 1/6)/S = 5/12

Answer: C
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Re: Carol spends 1/4 of her savings on a stereo and 1/3 less than she spen  [#permalink]

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New post 14 Dec 2015, 17:29
3
Hi All,

This question can be solved by TESTing VALUES.

From the answer choices, we can see that 4 of the 5 answers have a common denominator of 12, so let's TEST that...

Total Savings = $12

Carol spends 1/4 of her savings on a stereo...

Stereo = (1/4)($12) = $3

...and 1/3 less than she spent on the stereo for a television.

Television = $3 - (1/3)($3) = $2

We're asked what fraction of her savings she spent on the stereo and television?

3/12 + 2/12 = 5/12

Final Answer:

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Re: Carol spends 1/4 of her savings on a stereo and 1/3 less than she spen  [#permalink]

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New post 12 Aug 2018, 07:39
Let the total amount be "x"
Amount spent on stereo=x/4
Amount spent on television=x/4-(x/4*1/3)=2x/12
Amount spent on stereo and television together=x/4+2x/12=5x/12=>5/12

Answer(C)
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Re: Carol spends 1/4 of her savings on a stereo and 1/3 less than she spen  [#permalink]

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New post 13 Aug 2018, 00:05
Vyshak wrote:
Total Savings = S
Amount spent on stereo = (1/4)S
Amount spent on television = (1-1/3)(1/4)S = (2/3)*(1/4)*S = (1/6)S

(Stereo + TV)/Total Savings = S(1/4 + 1/6)/S = 5/12

Answer: C


Why is it (1-⅓)?

Many thanks.
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Re: Carol spends 1/4 of her savings on a stereo and 1/3 less than she spen  [#permalink]

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New post 13 Aug 2018, 00:58
jackjones wrote:
Vyshak wrote:
Total Savings = S
Amount spent on stereo = (1/4)S
Amount spent on television = (1-1/3)(1/4)S = (2/3)*(1/4)*S = (1/6)S

(Stereo + TV)/Total Savings = S(1/4 + 1/6)/S = 5/12

Answer: C


Why is it (1-⅓)?

Many thanks.


Because 1/3rd less than she spent on stereo= S/4-(1/3*S/4) [The amount she spent on the stereo 'minus' one-third of the amount she spent on stereo]

savvy??
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Re: Carol spends 1/4 of her savings on a stereo and 1/3 less than she spen   [#permalink] 13 Aug 2018, 00:58
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