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# M04-30

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Math Expert
Joined: 02 Sep 2009
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16 Sep 2014, 00:23
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5% (low)

Question Stats:

89% (00:24) correct 11% (00:24) wrong based on 151 sessions

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If Mary bought only kiwis, bananas, and lemons at the grocery store in proportion of 1 : 4 : 7 accordingly, how many lemons did Mary buy?

(1) The total number of the fruits Mary bought is 24.

(2) Mary bought 8 bananas.

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16 Sep 2014, 00:23
Official Solution:

If Mary bought only kiwis, bananas, and lemons at the grocery store in proportion of 1 : 4 : 7 accordingly, how many lemons did Mary buy?

Given: K:B:L=1:4:7. So, Mary bought $$x$$ kiwis, $$4x$$ bananas, and $$7x$$ lemons, for some positive multiple $$x$$.

(1) The total number of the fruits Mary bought is 24. Given: $$x+4x+7x=24$$. Solving for $$x$$ gives: $$x=2$$, so $$L=7x=14$$. Sufficient.

(2) Mary bought 8 bananas. Given: $$B=4x=8$$. Solving for $$x$$ gives: $$x=2$$, so $$L=7x=14$$. Sufficient.

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08 Nov 2014, 03:57
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how do we know that mary bought only kiwis, bananas, and lemons. She could have bought other fruits also. This would make 1 insufficient
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09 Nov 2014, 06:14
jacobneroth wrote:
how do we know that mary bought only kiwis, bananas, and lemons. She could have bought other fruits also. This would make 1 insufficient

Edited as suggested:
If Mary bought only kiwis, bananas, and lemons at the grocery store in proportion of 1 : 4 : 7 accordingly, how many lemons did Mary buy?

(1) The total number of the fruits Mary bought is 24.

(2) Mary bought 8 bananas.

Thank you.
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Joined: 20 Jan 2013
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GMAT 1: 660 Q49 V30

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25 Aug 2016, 04:39
If Mary bought only kiwis, bananas, and lemons at the grocery store in proportion of 1 : 4 : 7 accordingly, how many lemons did Mary buy?
(1) The total number of the fruits Mary bought is 24.
(2) Mary bought 8 bananas.

I have a question on statement 2:

The ratio given to us is 1:4:7. This ratio is also equal to 2:8:14. So, if Mary bought 8 bananas the propostionality constant can be either 1 or 2. (4*1=4 and 4*2=8) How can we be certain of the propotionality constant?
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18 Aug 2018, 19:01
HI pushpitkc, Bunuel, chetan2u,

Can you pls help with this query

Quote:
The ratio given to us is 1:4:7. This ratio is also equal to 2:8:14. So, if Mary bought 8 bananas the propostionality constant can be either 1 or 2. (4*1=4 and 4*2=8) How can we be certain of the propotionality constant?

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Resource: GMATPrep RCs With Solution

Math Expert
Joined: 02 Aug 2009
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18 Aug 2018, 20:01
NandishSS wrote:
HI pushpitkc, Bunuel, chetan2u,

Can you pls help with this query

Quote:
The ratio given to us is 1:4:7. This ratio is also equal to 2:8:14. So, if Mary bought 8 bananas the propostionality constant can be either 1 or 2. (4*1=4 and 4*2=8) How can we be certain of the propotionality constant?

Hi...
The proportionality constant can be just one...
If it is 1:4:7, then it is 1..
If it is 2:8:14, then it is 2, since 8=2*4..
Therefore here it is 2...
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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# M04-30

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