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# At a certain picnic, each of the guest was served either a

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Director
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At a certain picnic, each of the guest was served either a [#permalink]

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28 Mar 2005, 19:21
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At a certain picnic, each of the guest was served either a single scoop or a double scoop of ice cream. How many of the guests were served a double scoop of ice cream?

(1) At the picnic, 60 percent of the guests were served a double scoop of ice cream.
(2) A total of 120 scoops of ice cream were served to all the guests at the picnic.

Explanation is very critical please. Thanks

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Director
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28 Mar 2005, 19:36
Looks like C

option 1 gives a percent but no total scoops.Not suff

option2 gives 120 scoops in total but how do we get the single and double scoops.Not suff

Taking both we get the double sccops as 60% of 120 is 72

I take C

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SVP
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28 Mar 2005, 19:43
Your choice seems to be correct to me, but not the answer. Good thing DS question doesn't require a number as the answer. But do you agree that your number is not right?

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Director
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28 Mar 2005, 19:48
Oh .......I realize now...Its the number of guest v/s no of scoops right? Then should it be E?

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28 Mar 2005, 19:54
Well I do believe the answer is C. And the number is 45.

If there are 100 people then we need 60*2+40=160 scoop. But we only have 120 scoop so total number of people is 75. 60% of 75 is 45. (calculate as 3/4 of 60 to get faster result.)

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Director
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28 Mar 2005, 20:50
gmat2me2 wrote:
Looks like C

option 1 gives a percent but no total scoops.Not suff

option2 gives 120 scoops in total but how do we get the single and double scoops.Not suff

Taking both we get the double sccops as 60% of 120 is 72

I take C

hmm, u said taking both we get the double scoops as 60% of 120, but 60% is the number og guests served double scoops not the percentage of double scoops.
i don't seem to understand why 60%(of people) is being used with 120(number of scoops) to compute the number of guests who were served a double scoop of ice cream.

Does 60% of people mean 60% of 120 was served to them?

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Senior Manager
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28 Mar 2005, 23:33
(1) means 60% got double scoops, and 40% single scoops. Doesn't give the number of guests. Isnsufficient.

(2) means total scoops. Since we don't know the distribution, it could be anywhere between 60 (all served single scoops) and 120 people (all served double scoops). Insufficient.

Combining both.
if there're 10 people, 6 get double scoops, and 4 get single scoops.
Thus, 10 people require 16 scoops.
Therefore 120 scoops are sufficient for (120/16)x10 = 75 people.

Of course, from 1, the number of people served double scoop = 60% of 75 = 45.

Hope that helps.
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Director
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29 Mar 2005, 06:31
kapslock wrote:
(1) means 60% got double scoops, and 40% single scoops. Doesn't give the number of guests. Isnsufficient.

(2) means total scoops. Since we don't know the distribution, it could be anywhere between 60 (all served single scoops) and 120 people (all served double scoops). Insufficient.

Combining both.
if there're 10 people, 6 get double scoops, and 4 get single scoops.
Thus, 10 people require 16 scoops.
Therefore 120 scoops are sufficient for (120/16)x10 = 75 people.

Of course, from 1, the number of people served double scoop = 60% of 75 = 45.

Hope that helps.

Thanks Kapslock. I didn't know it was okay to assmume the number of people.

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Manager
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04 Apr 2005, 10:34
Quote:
Thanks Kapslock. I didn't know it was okay to assmume the number of people.

I don't think it's ok to assume the number of pple. after all isn't DS about finding the sufficiency of the information given. As such if one has to assume then the information provided is clearly not sufficient.

I go for E.
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04 Apr 2005, 17:41
"C"

X - single scoop ppl....Y - double scoop ppl

state 1: Y = (X+Y)3/5 .....==> 2Y/5 = 3X/5 .....2Y = 3X ....eq 1

state 2: X + 2Y = 120.....insuff to calculate Y.....eq 2

combine:

from eqn 1 and 2 we can find Y....suff

4X = 120....X = 30
Y = 3/2X = 45

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Manager
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04 Apr 2005, 23:27
Can't say i'm very clear, but i'll take it like that.

Thanks.
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04 Apr 2005, 23:46
(1) At the picnic, 60 percent of the guests were served a double scoop of ice cream.
- Not sufficient. We do not know # of guests.

(2) A total of 120 scoops of ice cream were served to all the guests at the picnic
- Not sufficient. We do not know how many gets double helping and how many single helping

(1) + (2)
Sufficient. we can equate and calculate the total number of guests, and from there the number of guests with double scoop of ice cream.

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Manager
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05 Apr 2005, 06:39
Folaa3 wrote:
At a certain picnic, each of the guest was served either a single scoop or a double scoop of ice cream. How many of the guests were served a double scoop of ice cream?

(1) At the picnic, 60 percent of the guests were served a double scoop of ice cream.
(2) A total of 120 scoops of ice cream were served to all the guests at the picnic.

Explanation is very critical please. Thanks

Stmt 1 : Not suff as we don't know the total number of guests.
Stmt 2: Obviously not sufficient

1 & 2 together:
Let total number of guests = 100
from Stmt 1: 60 of them get double scoops ---> 60 * 2 = 120 scoops
So 40 of them shld get single scoops
Total scoops = 120 + 40 = 160
Therefore, now using Stmt 2, # of double scoops when total scoops is 120 = 120 /160 * 120 = 90
Thus, number of people getting double scoops = 90 /2 = 45

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Re: DS-OG #1   [#permalink] 05 Apr 2005, 06:39
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