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Sean and George collect two kinds of kernels: apricot kernels and mang

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Joined: 02 Sep 2009
Posts: 47920
Sean and George collect two kinds of kernels: apricot kernels and mang  [#permalink]

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13 Nov 2017, 11:14
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Difficulty:

55% (hard)

Question Stats:

54% (02:09) correct 46% (01:50) wrong based on 83 sessions

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Sean and George collect two kinds of kernels: apricot kernels and mango kernels. If George has 4 apricot kernels, and together they have a total of 40 kernels (of both kinds), then how many of these 40 kernels are mango kernels?

(1) The number of apricot kernels that Sean has is half the total number of mango kernels they have together.

(2) Sean has three times as many kernels as George has.

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Re: Sean and George collect two kinds of kernels: apricot kernels and mang  [#permalink]

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13 Nov 2017, 20:20
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Bunuel wrote:
Sean and George collect two kinds of kernels: apricot kernels and mango kernels. If George has 4 apricot kernels, and together they have a total of 40 kernels (of both kinds), then how many of these 40 kernels are mango kernels?

(1) The number of apricot kernels that Sean has is half the total number of mango kernels they have together.

(2) Sean has three times as many kernels as George has.

(1) The number of apricot kernels that Sean has is half the total number of mango kernels they have together.
Let the number of apricot kernels that Sean has = x
x = 1/2(4+x)
=> x = 4
Number of mango kernels = 40 - 8 = 32

Sufficient

(2) Sean has three times as many kernels as George has

Let the number of apricot kernels that Sean has = x
Let number of mango kernels that George has = y
number of mango kernels that Sean has = z

x+z = 3(4+y) = 12 + 3y

Not sufficient

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Re: Sean and George collect two kinds of kernels: apricot kernels and mang  [#permalink]

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16 Feb 2018, 21:19
Skywalker18 wrote:
Bunuel wrote:
Sean and George collect two kinds of kernels: apricot kernels and mango kernels. If George has 4 apricot kernels, and together they have a total of 40 kernels (of both kinds), then how many of these 40 kernels are mango kernels?

(1) The number of apricot kernels that Sean has is half the total number of mango kernels they have together.

(2) Sean has three times as many kernels as George has.

(1) The number of apricot kernels that Sean has is half the total number of mango kernels they have together.
Let the number of apricot kernels that Sean has = x
x = 1/2(4+x)
=> x = 4
Number of mango kernels = 40 - 8 = 32

Sufficient

(2) Sean has three times as many kernels as George has

Let the number of apricot kernels that Sean has = x
Let number of mango kernels that George has = y
number of mango kernels that Sean has = z

x+z = 3(4+y) = 12 + 3y

Not sufficient

Though the answer is correct, i think x=(x+4)/2 is wrong. Since sam's appricot = (sams mango + george mango )/2 .. you have added appricot
Say sam appricot = A
sam mango = B
George appricot = 4
George mango = c
A+B+C+4 =40
A+B+C =36
AS PER QUESTION A=(B+C)/2
HENCE A = 12
TOTAL MANGO = 40-(12+4) = 24
A sufficient
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Re: Sean and George collect two kinds of kernels: apricot kernels and mang &nbs [#permalink] 16 Feb 2018, 21:19
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