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Sean and George collect two kinds of kernels: apricot kernels and mango kernels. If George has 4 apricot kernels...

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by AAPL » Mon Mar 02, 2020 3:01 pm

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Economist GMAT

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.

OA A
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Re: Sean and George collect two kinds of kernels: apricot kernels and mango kernels. If George has 4 apricot kernels...

by Jay@ManhattanReview » Wed Mar 04, 2020 11:15 pm
AAPL wrote: ↑
Mon Mar 02, 2020 3:01 pm
 Economist GMAT

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.

OA A
Say Sean has x no. of apricot and y no. of mango kernels, and George has p no. of apricot and q no. of mango kernels.

We have to get the value of y + q.

Let's take each statement one by one.

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

x = 1/2 of (y + q) => 4 = 1/2 of (y + q) => (y + q) = 8. Sufficient.

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

x + y = 3(p + q).

Can't get the value of y + q. Insufficient.

The correct answer: A

Hope this helps!

-Jay
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