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# Two players Lampard and Essien had a certain number of chocolates with

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Manager
Joined: 15 Dec 2015
Posts: 114
GMAT 1: 680 Q49 V34
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Two players Lampard and Essien had a certain number of chocolates with  [#permalink]

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31 Jul 2017, 07:36
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Difficulty:

75% (hard)

Question Stats:

53% (02:52) correct 47% (03:05) wrong based on 64 sessions

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Two players Lampard and Essien had a certain number of chocolates with them.If Lampard had 10 more than half the number of chocolates than Essien had,was the number of chocolates with Essien more than 20?

Statement 1: The difference between the number of chocolates than Lampard and Essien had was less than 30.
Statement 2: The total number of chocolates than Lampard and Essien had was greater than 5/2 of the number of the chocolates with Essien.
Math Expert
Joined: 02 Aug 2009
Posts: 8302
Two players Lampard and Essien had a certain number of chocolates with  [#permalink]

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31 Jul 2017, 07:55
1
DH99 wrote:
Two players Lampard and Essien had a certain number of chocolates with them.If Lampard had 10 more than half the number of chocolates than Essien had,was the number of chocolates with Essien more than 20?

Statement 1: The difference between the number of chocolates than Lampard and Essien had was less than 30.
Statement 2: The total number of chocolates than Lampard and Essien had was greater than 5/2 of the number of the chocolates with Essien.

Hi..
the equation we get is $$L=\frac{E}{2}+10$$

lets see the statements..
Statement 1: The difference between the number of chocolates than Lampard and Essien had was less than 30.
EITHER $$L-E<30.....\frac{E}{2}+10-E<30.....\frac{E}{2}>-20....E>-40...$$ basically means E>0 or E=0... so E could have any number..
OR $$E-L<30.....E-\frac{E}{2}-10<30.....\frac{E}{2}<40...E<80...$$ again E could be LESS than 20 or EQUAL or MORE than 20
Insuff..

Statement 2: The total number of chocolates than Lampard and Essien had was greater than 5/2 of the number of the chocolates with Essien
this is second equation ..
we have TWO variables and TWO different equations, here we can find the answer inspite of an inequality as we are not looking for exact value
ans can be found..
sufficient..

but lets find value..
$$L+E>\frac{5E}{2}.....L>\frac{3E}{2}$$

substitute in main equation..
$$(>\frac{3E}{2})=\frac{E}{2}+10....\frac{3E}{2}<\frac{E}{2}+10......E<10$$
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Re: Two players Lampard and Essien had a certain number of chocolates with  [#permalink]

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01 Aug 2017, 16:58
Hi chetan2u
i have a doubt in St:2 analysis
it is mentioned that The total number of chocolates than Lampard and Essien had was greater than 5/2 of the number of the chocolates with Essien
i thought the equation would be as L + E >5E/2 because it is mentioned " Greater than"
where as you have mentioned L+ E = 5E/2.

Kindly let meknow the flaw in my understanding.
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Joined: 02 Aug 2009
Posts: 8302
Re: Two players Lampard and Essien had a certain number of chocolates with  [#permalink]

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01 Aug 2017, 20:17
gvvsnraju@1 wrote:
Hi chetan2u
i have a doubt in St:2 analysis
it is mentioned that The total number of chocolates than Lampard and Essien had was greater than 5/2 of the number of the chocolates with Essien
i thought the equation would be as L + E >5E/2 because it is mentioned " Greater than"
where as you have mentioned L+ E = 5E/2.

Kindly let meknow the flaw in my understanding.

hi..
raju you are absolutely correct about GREATER THAN..
its only if I took equal to I would get MAX value of E and the actual value will be less than 10.
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Re: Two players Lampard and Essien had a certain number of chocolates with  [#permalink]

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07 May 2019, 00:51
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Two players Lampard and Essien had a certain number of chocolates with   [#permalink] 07 May 2019, 00:51
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