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Sofi has S game cards, which is half as many as her older brother has,

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Sofi has S game cards, which is half as many as her older brother has,  [#permalink]

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New post 29 Mar 2018, 00:12
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Sofi has S game cards, which is half as many as her older brother has, and three times as many as her younger sister has. In terms of S, how many game cards do the three siblings have altogether?

A. 4S/3

B. 7S/3

C. 10S/3

D. 7S/2

E. 11S/2

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Re: Sofi has S game cards, which is half as many as her older brother has,  [#permalink]

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New post 29 Mar 2018, 01:19
Bunuel wrote:
Sofi has S game cards, which is half as many as her older brother has, and three times as many as her younger sister has. In terms of S, how many game cards do the three siblings have altogether?

A. 4S/3

B. 7S/3

C. 10S/3

D. 7S/2

E. 11S/2



Since Sofi(who has S game cards) has half as many game cards as her older brother the older brother has 2S games cards.

Similarly, as she has 3 times as many cards as her younger sister, the younger sister will have S/3 cards.

Therefore, the three siblings have \(S + 2S + \frac{S}{3}\) = \(\frac{10S}{3}\) game cards(Option C)
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Re: Sofi has S game cards, which is half as many as her older brother has,  [#permalink]

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New post 29 Mar 2018, 11:29
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I solved this question by plugging numbers

Lets consider S as 15.
Her older brother has 30 cards (Twice as S)
Sofi’a has 3 times more than her younger sister. Lets assume Y. i.e S is 15 and Y is 5.

Adding all three you get 15+30+5=50.

We need an equation that gives 50.

Option C gives us that 10S/3 = (10*15)/3 = 50.

Ans C
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Re: Sofi has S game cards, which is half as many as her older brother has,  [#permalink]

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New post 30 Mar 2018, 10:53
Bunuel wrote:
Sofi has S game cards, which is half as many as her older brother has, and three times as many as her younger sister has. In terms of S, how many game cards do the three siblings have altogether?

A. 4S/3

B. 7S/3

C. 10S/3

D. 7S/2

E. 11S/2


We can let S = the number of Sofi’s cards, 2S = the number of her older brother’s cards, and (1/3)S = the number her younger sister’s cards. The total number of cards is:

S + 2S + (1/3)S

3S/3 + 6S/3 + S/3

10S/3

Answer: C
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Re: Sofi has S game cards, which is half as many as her older brother has,  [#permalink]

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New post 31 Mar 2018, 11:00
Bunuel wrote:
Sofi has S game cards, which is half as many as her older brother has, and three times as many as her younger sister has. In terms of S, how many game cards do the three siblings have altogether?

A. 4S/3

B. 7S/3

C. 10S/3

D. 7S/2

E. 11S/2


Given :

Sofi : S
Older Brother : 2S
Younger Sister : S/3

Therefore Total = S + 2S + S/3 = 10S/3

Option C

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Re: Sofi has S game cards, which is half as many as her older brother has,  [#permalink]

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New post 31 Mar 2018, 14:18
Bunuel wrote:
Sofi has S game cards, which is half as many as her older brother has, and three times as many as her younger sister has. In terms of S, how many game cards do the three siblings have altogether?

A. 4S/3

B. 7S/3

C. 10S/3

D. 7S/2

E. 11S/2


Let S = 6, older brother = 12, younger sister = 2

Total cards =20

A. 4S/3 = 4 * 6/3 = 8.............Eliminate

B. 7S/3 = 7 * 6/3.......Not multiple of 10 as in my answer.....Eliminate

C. 10S/3 = 10 * 6/3 = 20................Keep

D. 7S/2.............Same as B

E. 11S/2.............Same as B

Answer: C
Re: Sofi has S game cards, which is half as many as her older brother has, &nbs [#permalink] 31 Mar 2018, 14:18
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